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ZAP Test

Total questions: 100

Worksheet time: 5hrs 43mins

Name
Class
Date
1.
In 1996 the Antique Automobile Club of America had 23,000 members. It grew an average of 5% per year through 1985. Assuming this continued, what would the membership be in 2004?
a)
112,000
b)
78,000
c)
127,000
d)
151,000
2.
Pepsi brand's value increased by 5.75% from 2002 to 2003. Assume this continues. If the company had a value of $11,140,000 in 2002, write an equation for the value of pepsi for "t" years after 2002
a)
y = 11,140,000(.0575)^t
b)
y = 11,140,000(1+.0575t) 
c)
y = 11,140,000(1+.0575)^t
d)
y = 11,140,000^t+.0575
3.
According to the Cellular Telecommunications and Internet Association, the number of text messages being sent on cell phones in one month increased from 930 million to 1.2 billion from June 2002 thought June 2003. Assuming this trend continues, what would be the new number of cell phone text messages in 2004?
a)
2 billion
b)
1.55 billion
c)
959 billion
d)
980 billion 
4.
Find the balance in the account:
$2,400 principal earning 2%, compounded annually, after 7 years 
a)
$2,756.85
b)
$307,200.00
c)
$17,136.00
d)
$2,736.00
5.
Nintendo brand's value decreased by 11.2%from 2002 to 2003. Assume this continues. If the company had a value of $9,220,000 in 2002, write an equation for the value of Nintendo for "t" years after 2002. 
a)
y = 9,220,000(.112)t
b)
y = 9,220,000(1-.112t)
c)
y = 9,220,000(1.112)t-.112
d)
y = 9,220,000(1-.112)t
6.
A car sells for $25,000. If the rate of depreciation is 15%, what is the value of the car after 7 years?
a)
$8,000
b)
$9,400
c)
$7,400
d)
$9,800
7.
According to the U.S. Census Bureau, the District of Columbia's population in 2000 was 572,000. In the 1990 census the population was 607,000. What was the rate of change of the population from one census to the next?
a)
8%
b)
6%
c)
3%
d)
1%
8.
A piece of manufacturing equipment valued at $125,000 depreciates at a steady rate of 10% per year. What is the value of the equipment in 15 years?
a)
$26,000
b)
$29,000
c)
$33,000
d)
$22,000
9.

Does the following equation model growth or decay?

y = 500(.30)x + 7

a)

Growth by 30%

b)

Growth by 70%

c)

Decay by 30%

d)

Decay by 70%

10.

Your shiny new boat cost $7650. The depreciation for your boat is 14% per year. You want to know the value of your boat in 3 years. What is the equation that models this problem?

a)

y = 7650(1 + 0.14)3

b)

y = 7650(1 - 0.14)3

c)

y = 7650e(0.14)(3)

d)

y = 7650 (1 + 0.14/12)(12)(3)

11.

What is the percent (%) of increaase or decrease in the following equation?


f(x) = 250 (0.95)x

a)

Decrease by 95%

b)

Increase by 5%

c)

Decrease by 5%

d)

Increase by 95%

12.
You drink a beverage with 120 mg of caffeine. Each hour, the caffeine in your system decreases by about 12%. How long until you have 10mg of caffeine? 
a)
19 to 20 hours
b)
10 to 20 hours
c)
15 to 16 hours
d)
5 to 6 hours
13.

What type of function does the equation y = 2x represent?

a)

Exponential Growth

b)

Exponential Decay

c)

Linear

d)

Quadratic

14.

What type of function does the equation f(x) = 200(0.79)x represent?

a)

Exponential Growth

b)

Exponential Decay

c)

Linear

d)

Quadratic

15.
In an exponential function, what does the 'a' represent? 
a)
SLOPE
b)
RATE OF CHANGE
c)
Y-INTERCEPT
d)
COMMON RATIO
16.
James' 70 in. giant peach doubles in size every week. Write an expression that would represent how big the peach is after 5 weeks.
a)
70(2)35
b)
70(2)5
c)
2(70)5
d)
5(70)2
17.
Given an investment of$ 1,500:
Which investment would have a larger balance after 5 years?
Option 1 - 4% compounded monthly
Option 2 - 3.9% compounded daily. 
a)
Option 1
b)
Option 2
18.

Does the following represent growth or decay?

y = 1/2(1.25)x + 2

a)

Growth by 25%

b)

Growth by 75%

c)

Decay by 25%

d)

Decay by 75%

19.

Laurie deposited $5,000 into an account that earns 5% interest compounded quarterly. How much will be in her account after three years? Round to the nearest cent.

a)

$5,798.47

b)

$5,803.77

c)

$5,788.13

d)

$84,170,560.98

20.
A radioisotope of silver has half life of 10 minutes. What fraction of the original mass would remain after one hour?
a)
1/64
b)
1/2
c)
1/4
d)
1/8
21.
An isotope of cesium (cesium-137) has a half-life of 30 years. If 1.0 mg of cesium-137 disintegrates over a period of 90 years, how many mg of cesium-137 would remain? 
a)
0.5 mg
b)
0.25 mg
c)
0.125 mg
d)
0.0625 mg
22.
Actinium-226 has a half-life of 29 hours. If 100 mg of actinium-226 disintegrates over a period of 58 hours, how many mg of actinium-226 will remain? 
a)
50 mg
b)
25 mg
c)
12.5 mg
d)
6.25 mg
23.
Barium-122 has a half-life of 2 minutes. A fresh sample weighing 80 g was obtained. If it takes 10 minutes to set up an experiment using barium-122, how much barium-122 will be left when the experiment begins?
a)
0.25g
b)
2.5g
c)
25g
d)
80g
24.
After 4 half-lives, 1g of a sample of Krypton-85 remains unchanged.  What was the original mass of the sample?
a)
16g
b)
32g
c)
0.0625g
d)
4g
25.
In an exponential function, what does the 'a' represent? 
a)
SLOPE
b)
RATE OF CHANGE
c)
Y-INTERCEPT
d)
COMMON RATIO
26.
What is a, the starting term, for the function: f(x) = 300(1.16)x?
a)
300
b)
1.16
c)
.16
d)
x
27.
Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)6
a)
Growth
b)
Decay
28.
Classify the model as Exponential GROWTH or DECAY.
A=10(1.01)3
a)
Growth
b)
Decay
29.
Is the pictured graph growth, decay, or linear or none?  
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None
30.
Is this exponential growth or decay?
a)
Growth
b)
Decay
31.
What type of function is y = 7(5/4)x?
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None of the above
32.
Is this exponential growth or decay?
a)
Growth
b)
Decay
33.
The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the decay factor?
a)
.08
b)
1.08
c)
.92
d)
8
34.
What is the decay rate in the following model?
A=1200(.85)6
a)
-1200
b)
-.15
c)
6
d)
-6
35.
Which of the following functions shows an initial amount of $15 and an increase of 35% each year?
a)
y = 15(35)x
b)
y = 15(1.35)x
c)
y = 15(0.35)x
d)
y = 35(1.15)x
36.

Which equation is an exponential equation?

a)

y = a * bx

b)

y = ln x

c)

y = mx + b

37.
James' 70 in. giant peach doubles in size every week. Write an expression that would represent how big the peach is after 5 weeks.
a)
70(2)35
b)
70(2)5
c)
2(70)5
d)
5(70)2
38.
The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months?
a)
9766
b)
9006
c)
9765
d)
5433
39.
Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.
a)
y=5000(0.7)x
b)
y=30(5000)x
c)
y=5000(1.3)x
d)
y=5000xx
40.

The population of the United States was 248,718,301 in 1990 and was projected to grow at a rate of about 8% per decade. Predict the population, to the nearest hundred thousand, for the years 2018.

a)

978617180000 people

b)

248757647 people

c)

993883180 people

d)

55448350 people

41.
A population of fish starts at 8,000 and decreases by 6% per year. What is the population of fish after 10 years?
a)
14327
b)
4309
c)
839
d)
7680
42.
Daniel’s Print Shop purchased a new printer for $35,000. Each year it depreciates at a rate of 5%. How much will the printer be worth in 8 years?
a)
$23,219.72
b)
$136.72
c)
$51,710.94
d)
$16,710.94
43.
The attendance at the art museum at the New Year’s opening was 250 people. The attendance has been increasing at a rate of 3% each month. How many people will attend by the end of a year?
a)
356
b)
265
c)
5825
d)
1329
44.

Which exponential equation models the scenario below?


Find a bank account balance if the account starts with $100, has an annual rate of 4%, and the money left in the account for 12 years.

a)

y = a(b)x

b)

y = a(1 + r)x

c)

y = a(1 - r)x

d)
45.

Which exponential equation models the scenario below?


In 1985, there were 285 cell phone subscribers in the small town of Merrittland. The number of subscribers increased by 75% per year after 1985. How many cell phone subscribers were in Merrittland in 1994?

a)

y = a(b)x

b)

y = a(1 + r)x

c)

y = a(1 - r)x

d)
46.

Which exponential equation models the scenario below?


Bacteria can multiply at an alarming rate when each bacteria splits into two new cells, thus doubling. If we start with only one bacteria which can double every hour, how many bacteria will we have by the end of one day?

a)

y = a(b)x

b)

y = a(1 + r)x

c)

y = a(1 - r)x

d)
47.

Which exponential equation models the scenario below?


Each year the local country club sponsors a tennis tournament. Play starts with 128 participants. During each round, half of the players are eliminated. How many players remain after 5 rounds?

a)

y = a(b)x

b)

y = a(1 + r)x

c)

y = a(1 - r)x

d)
48.

Which exponential equation models the scenario below?


During normal breathing, about 12% of the air in the lungs is replaced after one breath. Write an exponential decay model for the amount of the original air left in the lungs if the initial amount of air in the lungs is 500 mL.

a)

y = a(b)x

b)

y = a(1 + r)x

c)

y = a(1 - r)x

d)
49.

Which exponential equation models the scenario below?


You deposit $1600 in a bank account. Find the balance after 3 years for each of the following situations: a. The account pays 2.5% annual interest compounded monthly.

a)

y = a(b)x

b)

y = a(1 + r)x

c)

y = a(1 - r)x

d)
50.

Which exponential equation models the scenario below?


You buy a new computer for $2100. The computer depreciates by 30% annually.

a)

y = a(b)x

b)

y = a(1 + r)x

c)

y = a(1 - r)x

d)
51.

Which exponential equation models the scenario below?


You drink a beverage with 120 mg of caffeine. Each hour, the caffeine in your system decreases by about 12%.

a)

y = a(b)x

b)

y = a(1 + r)x

c)

y = a(1 - r)x

d)
52.

Which exponential equation models the scenario below?


The foundation of your house has about 1,200 termites. The termites grow at a rate of about 2.4% per day. How long until the number of termites doubles?

a)

y = a(b)x

b)

y = a(1 + r)x

c)

y = a(1 - r)x

d)
53.

Which exponential equation models the scenario below?


You have inherited land that was purchased for $30,000 in 1960. The value of the land increased by approximately 5% per year.

a)

y = a(b)x

b)

y = a(1 + r)x

c)

y = a(1 - r)x

d)
54.

Which exponential equation models the scenario below?


Kennedy won $3,000 from a radio contest. If she puts this money in a bank account that earns 2.9% interest compounded quarterly, how much interest will she earn in 10 years?

a)

y = a(b)x

b)

y = a(1 + r)x

c)

y = a(1 - r)x

d)
55.
A new savings account is opened with $400 and gains 3% every year. What is the exponential function?
a)
f(x)=400(1+3)x
b)
f(x)=400(1-0.03)x
c)
f(x)=400(1+0.03)x
d)
f(x)=400(0.03)x
56.
Andy invests $500 into an account with 4.8% interest, compounded monthly. How much will be in the account in 10 years?
a)
$799.06
b)
$520.36
c)
$807.26
d)
$877.61
57.
Emily's parents put $1,500 in her bank account for college tuition. At an interest rate of 8.25% compounded semi-annually, what will be the balance after 18 years?
a)
$6,273.50
b)
$6,314.08
c)
$6,385.72
d)
$6,427.94
58.
A 78 gram sample of Uranium loses half of its mass each year.  How much is left after 6 years?
a)
13 grams
b)
6.5 grams
c)
1.22 grams
d)
592.31 grams
59.
Kennedy won $3,000 from a radio contest. If she puts this money in a bank account that earns 2.9% interest compounded quarterly, how much total will she earn in 10 years?
a)
$4915.59
b)
$3933.28
c)
$2979.81
d)
$4005.09
60.
A population of fish starts at 8,000 and decreases by 6% per year. What is the population of fish after 10 years?
a)
14327
b)
4309
c)
839
d)
7680
61.
Is the table linear, exponential or neither?
a)
Linear
b)
Exponential
c)
Neither
62.
Is this table linear, quadratic, exponential, or none of the above?
a)
linear
b)
quadratic
c)
exponential
d)
none of the above
63.

Which function is exponential?

a)

A

b)

B

c)

C

64.

What type of function is represented by this table?

a)

Exponential Growth

b)

Positive Quadratic

c)

Exponential Decay

d)

Increasing Linear

65.

What type of function is SIMPLE INTEREST?

a)

Increasing Linear

b)

Decreasing Linear

c)

Exponential Growth

d)

Exponential Decay

66.
What is the pattern you see in this table?
a)
Common Ratio = 1/3
b)
Common Difference = 8
c)
Common Ratio = 3
d)
Common difference = 3
67.
Which function is linear?
a)
f(x)
b)
h(x)
c)
g(x)
68.
Identify the type of function.
y = 4x + 3
a)
Exponential
b)
Linear
c)
Quadratic
d)
Cubic
69.
Identify the type of function.
y = (x-5)(x-2)
a)
Exponential
b)
Linear
c)
Quadratic
d)
Parabola
70.
What type of function is f(x)=2(1/7)x ?
a)
Exponential Growth
b)
Linear
c)
Exponential Decay
d)
None of the Abovee
71.
If a table's pattern is that the f(x) values are being divided by 3, what is the common ratio?
a)
3
b)
-3
c)
1/3
d)
-1/3
72.
What is the y-intercept of the function?
a)
2
b)
3
c)
1
d)
-2
73.
Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.
a)
y=6(0.14)x
b)
y=6(1+14)x
c)
y=6(1.14)x
d)
y=6(0.86)x
74.
What type of function is y = 7(5/4)x?
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None of the above
75.
Which of the following functions shows an initial amount of $15 and an increase of 35% each year?
a)
y = 15(35)x
b)
y = 15(1.35)x
c)
y = 15(0.35)x
d)
y = 35(1.15)x
76.
What is the common ratio for the sequence:
28, 14, 7, 3.5...
a)
2
b)
1/2
c)
-14
d)
-7
77.
What is the common ratio for the sequence:
3, 15, 75...
a)
12
b)
1/5
c)
5
78.
Identify the y-intercept (initial value) in the function f(x)=13(.27)x
a)
(.27)x
b)
.27
c)
13
d)
3.51
79.
Is the pictured graph growth, decay, or linear or none?  
a)
Growth
b)
Decay
c)
Linear
d)
None
80.
Is the pictured graph growth, decay, or linear or none?  
a)
Growth
b)
Decay
c)
Linear
d)
None
81.
In an exponential function, what does the 'a' represent? 
a)
SLOPE
b)
RATE OF CHANGE
c)
INITIAL AMOUNT
d)
GROWTH OR DECAY FACTOR
82.
In an exponential function, what does the 'b' represent? 
a)
SLOPE
b)
RATE OF CHANGE
c)
INITIAL AMOUNT
d)
GROWTH OR DECAY  FACTOR
83.
In an exponential function, what does the 'b' represent? 
a)
SLOPE
b)
RATE OF CHANGE
c)
INITIAL AMOUNT
d)
GROWTH OR DECAY  FACTOR
84.
In an exponential function, what does the 'a' represent? 
a)
SLOPE
b)
RATE OF CHANGE
c)
INITIAL AMOUNT
d)
GROWTH OR DECAY FACTOR
85.
In an exponential function, what does the 'b' represent? 
a)
SLOPE
b)
RATE OF CHANGE
c)
INITIAL AMOUNT
d)
GROWTH OR DECAY  FACTOR
86.
In an exponential function, what does the 'a' represent? 
a)
SLOPE
b)
RATE OF CHANGE
c)
INITIAL AMOUNT
d)
GROWTH OR DECAY FACTOR
87.
In an exponential function, what does the 'b' represent? 
a)
SLOPE
b)
RATE OF CHANGE
c)
INITIAL AMOUNT
d)
GROWTH OR DECAY  FACTOR
88.
In an exponential function, what does the 'a' represent? 
a)
SLOPE
b)
RATE OF CHANGE
c)
INITIAL AMOUNT
d)
GROWTH OR DECAY FACTOR
89.

Which function will show exponential behavior?


F(x) = (4.3)x 

or

G(x) = 4.3x + 9

a)
F(x)
b)
G(x)
c)
both
d)
neither
90.
Describe the function:
y = 1000(1 - 0.87)x
a)
growth by 87%
b)
decay by 87%
c)
growth by 13%
d)
decay by 13%
91.
Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.
a)
y=5000(0.7)x
b)
y=30(5000)x
c)
y=5000(1.3)x
d)
y=5000xx
92.
The compound interest formula is:
A = P(1 + r)t

What does the A represent?
a)
The amount of interest earned.
b)
The amount of time that has passed.
c)
The total amount of money after a certain amount of time.
d)
The amount required to invest.
93.
The compound interest formula is:
A = P(1 + r)t

What does the A represent?
a)
The amount of interest earned.
b)
The amount of time that has passed.
c)
The total amount of money after a certain amount of time.
d)
The amount required to invest.
94.
The compound interest formula is:
A = P(1 + r)t

What does the A represent?
a)
The amount of interest earned.
b)
The amount of time that has passed.
c)
The total amount of money after a certain amount of time.
d)
The amount required to invest.
95.
If $1,000 is invested at 16% interest, compounded continuously, for five years, what is the ending balance?
a)
$1,225,54
b)
$2,225.54
c)
$22,255.40
d)
$225.54
96.
If $1,000 is invested at 16% interest, compounded continuously, for five years, what is the ending balance?
a)
$1,225,54
b)
$2,225.54
c)
$22,255.40
d)
$225.54
97.
If $1,000 is invested at 16% interest, compounded continuously, for five years, what is the ending balance?
a)
$1,225,54
b)
$2,225.54
c)
$22,255.40
d)
$225.54
98.
The poplulation of Eden is growing continuously at a rate of 1.9%. If the current population is 15,230, about how many years to reach 20,000?
a)
31
b)
2
c)
15
d)
68
99.
The poplulation of Eden is growing continuously at a rate of 1.9%. If the current population is 15,230, about how many years to reach 20,000?
a)
31
b)
2
c)
15
d)
68
100.
The poplulation of Eden is growing continuously at a rate of 1.9%. If the current population is 15,230, about how many years to reach 20,000?
a)
31
b)
2
c)
15
d)
68

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