Quiz about ZAP Test

Question 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?

Accepted Answer

127,000

Answer

112,000

Answer

78,000

Answer

151,000

Question 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

Accepted Answer

y = 11,140,000(1+.0575)^t

Answer

y = 11,140,000(.0575)^t

Answer

y = 11,140,000(1+.0575t)

Answer

y = 11,140,000^t+.0575

Question 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?

Accepted Answer

1.55 billion

Answer

2 billion

Answer

959 billion

Answer

980 billion

Question 4

Find the balance in the account:
$2,400 principal earning 2%, compounded annually, after 7 years

Accepted Answer

$2,756.85

Answer

$307,200.00

Answer

$17,136.00

Answer

$2,736.00

Question 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.

Accepted Answer

y = 9,220,000(1-.112)^t

Answer

y = 9,220,000(.112)^t

Answer

y = 9,220,000(1-.112t)

Answer

y = 9,220,000(1.112)^t-.112

Question 6

A car sells for $25,000. If the rate of depreciation is 15%, what is the value of the car after 7 years?

Accepted Answer

$8,000

Answer

$9,400

Answer

$7,400

Answer

$9,800

Question 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?

Accepted Answer

6%

Answer

8%

Answer

3%

Answer

1%

Question 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?

Accepted Answer

$26,000

Answer

$29,000

Answer

$33,000

Answer

$22,000

Question 9

Does the following equation model growth or decay?

y = 500(.30)^x+ 7

Accepted Answer

Decay by 70%

Answer

Growth by 30%

Answer

Growth by 70%

Answer

Decay by 30%

Question 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?

Accepted Answer

y = 7650(1 - 0.14)³

Answer

y = 7650(1 + 0.14)³

Answer

y = 7650e^(0.14)(3)

Answer

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

Question 11

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

f(x) = 250 (0.95)^x

Accepted Answer

Decrease by 5%

Answer

Decrease by 95%

Answer

Increase by 5%

Answer

Increase by 95%

Question 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?

Accepted Answer

19 to 20 hours

Answer

10 to 20 hours

Answer

15 to 16 hours

Answer

5 to 6 hours

Question 13

What type of function does the equation y = 2^xrepresent?

Accepted Answer

Exponential Growth

Answer

Exponential Decay

Answer

Linear

Answer

Quadratic

Question 14

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

Accepted Answer

Exponential Decay

Answer

Exponential Growth

Answer

Linear

Answer

Quadratic

Question 15

In an exponential function, what does the 'a' represent?

Accepted Answer

Y-INTERCEPT

Answer

SLOPE

Answer

RATE OF CHANGE

Answer

COMMON RATIO

Question 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.

Accepted Answer

70(2)5

Answer

70(2)35

Answer

2(70)5

Answer

5(70)2

Question 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.

Accepted Answer

Option 1

Answer

Option 2

Question 18

Does the following represent growth or decay?

y = 1/2(1.25)^x+ 2

Accepted Answer

Growth by 25%

Answer

Growth by 75%

Answer

Decay by 25%

Answer

Decay by 75%

Question 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.

Accepted Answer

$5,803.77

Answer

$5,798.47

Answer

$5,788.13

Answer

$84,170,560.98

Question 20

A radioisotope of silver has half life of 10 minutes. What fraction of the original mass would remain after one hour?

Accepted Answer

1/64

Answer

1/2

Answer

1/4

Answer

1/8

Question 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?

Accepted Answer

0.125 mg

Answer

0.5 mg

Answer

0.25 mg

Answer

0.0625 mg

Question 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?

Accepted Answer

25 mg

Answer

50 mg

Answer

12.5 mg

Answer

6.25 mg

Question 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?

Accepted Answer

2.5g

Answer

0.25g

Answer

25g

Answer

80g

Question 24

After 4 half-lives, 1g of a sample of Krypton-85 remains unchanged.  What was the original mass of the sample?

Accepted Answer

16g

Answer

32g

Answer

0.0625g

Answer

4g

Question 25

In an exponential function, what does the 'a' represent?

Accepted Answer

Y-INTERCEPT

Answer

SLOPE

Answer

RATE OF CHANGE

Answer

COMMON RATIO

Question 26

What is a, the starting term, for the function: f(x) = 300(1.16)^x?

Accepted Answer

300

Answer

1.16

Answer

.16

Answer

x

Question 27

Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)⁶

Accepted Answer

Decay

Answer

Growth

Question 28

Classify the model as Exponential GROWTH or DECAY.
A=10(1.01)³

Accepted Answer

Growth

Answer

Decay

Question 29

Is the pictured graph growth, decay, or linear or none?

Accepted Answer

Exponential Growth

Answer

Exponential Decay

Answer

Linear

Answer

None

Question 30

Is this exponential growth or decay?

Accepted Answer

Decay

Answer

Growth

Question 31

What type of function is y = 7(5/4)^x?

Accepted Answer

Exponential Growth

Answer

Exponential Decay

Answer

Linear

Answer

None of the above

Question 32

Is this exponential growth or decay?

Accepted Answer

Decay

Answer

Growth

Question 33

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the decay factor?

Accepted Answer

.92

Answer

.08

Answer

1.08

Answer

8

Question 34

What is the decay rate in the following model?
A=1200(.85)⁶

Accepted Answer

-.15

Answer

-1200

Answer

6

Answer

-6

Question 35

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

Accepted Answer

y = 15(1.35)^x

Answer

y = 15(35)^x

Answer

y = 15(0.35)^x

Answer

y = 35(1.15)^x

Question 36

Which equation is an exponential equation?

Accepted Answer

y = a * b^x

Answer

y = ln x

Answer

y = mx + b

Question 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.

Accepted Answer

70(2)5

Answer

70(2)35

Answer

2(70)5

Answer

5(70)2

Question 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?

Accepted Answer

9765

Answer

9766

Answer

9006

Answer

5433

Question 39

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

Accepted Answer

y=5000(0.7)^x

Answer

y=30(5000)^x

Answer

y=5000(1.3)^x

Answer

y=5000xx

Question 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.

Accepted Answer

993883180 people

Answer

978617180000 people

Answer

248757647 people

Answer

55448350 people

Question 41

A population of fish starts at 8,000 and decreases by 6% per year. What is the population of fish after 10 years?

Accepted Answer

4309

Answer

14327

Answer

839

Answer

7680

Question 42

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.

Accepted Answer

y = a(1 + r)^x

Answer

y = a(b)x

Answer

y = a(1 - r)^x

Answer

D.

Question 43

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?

Accepted Answer

y = a(1 + r)^x

Answer

y = a(b)x

Answer

y = a(1 - r)^x

Answer

D.

Question 44

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?

Accepted Answer

y = a(b)x

Answer

y = a(1 + r)^x

Answer

y = a(1 - r)^x

Answer

D.

Question 45

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.

Accepted Answer

y = a(1 - r)^x

Answer

y = a(b)x

Answer

y = a(1 + r)^x

Answer

D.

Question 46

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.

Accepted Answer

Option D is correct

Answer

y = a(b)x

Answer

y = a(1 + r)^x

Answer

y = a(1 - r)^x

Question 47

Which exponential equation models the scenario below?

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

Accepted Answer

y = a(1 - r)^x

Answer

y = a(b)x

Answer

y = a(1 + r)^x

Answer

D.

Question 48

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%.

Accepted Answer

y = a(1 - r)^x

Answer

y = a(b)x

Answer

y = a(1 + r)^x

Answer

D.

Question 49

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?

Accepted Answer

y = a(1 + r)^x

Answer

y = a(b)x

Answer

y = a(1 - r)^x

Answer

D.

Question 50

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?

Accepted Answer

Option D is correct

Answer

y = a(b)x

Answer

y = a(1 + r)^x

Answer

y = a(1 - r)^x

Question 51

A new savings account is opened with $400 and gains 3% every year. What is the exponential function?

Accepted Answer

f(x)=400(1+0.03)^x

Answer

f(x)=400(1+3)^x

Answer

f(x)=400(1-0.03)^x

Answer

f(x)=400(0.03)^x

Question 52

Andy invests $500 into an account with 4.8% interest, compounded monthly. How much will be in the account in 10 years?

Accepted Answer

$807.26

Answer

$799.06

Answer

$520.36

Answer

$877.61

Question 53

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?

Accepted Answer

$6,427.94

Answer

$6,273.50

Answer

$6,314.08

Answer

$6,385.72

Question 54

A 78 gram sample of Uranium loses half of its mass each year.  How much is left after 6 years?

Accepted Answer

1.22 grams

Answer

13 grams

Answer

6.5 grams

Answer

592.31 grams

Question 55

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?

Accepted Answer

$4005.09

Answer

$4915.59

Answer

$3933.28

Answer

$2979.81

Question 56

A population of fish starts at 8,000 and decreases by 6% per year. What is the population of fish after 10 years?

Accepted Answer

4309

Answer

14327

Answer

839

Answer

7680

Question 57

Is the table linear, exponential or neither?

Accepted Answer

Exponential

Answer

Linear

Answer

Neither

Question 58

Is this table linear, quadratic, exponential, or none of the above?

Accepted Answer

quadratic

Answer

linear

Answer

exponential

Answer

none of the above

Question 59

Which function is exponential?

Accepted Answer

B

Answer

A

Answer

C

Question 60

What type of function is represented by this table?

Accepted Answer

Positive Quadratic

Answer

Exponential Growth

Answer

Exponential Decay

Answer

Increasing Linear

Question 61

What type of function is SIMPLE INTEREST?

Accepted Answer

Increasing Linear

Answer

Decreasing Linear

Answer

Exponential Growth

Answer

Exponential Decay

Question 62

What is the pattern you see in this table?

Accepted Answer

Common Ratio = 3

Answer

Common Ratio = 1/3

Answer

Common Difference = 8

Answer

Common difference = 3

Question 63

Which function is linear?

Accepted Answer

h(x)

Answer

f(x)

Answer

g(x)

Question 64

Identify the type of function.
y = 4^x+ 3

Accepted Answer

Exponential

Answer

Linear

Answer

Quadratic

Answer

Cubic

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