Quiz about Exam 4.1 Review

Question 1

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

Accepted Answer

INITIAL VALUE

Answer

SLOPE

Answer

RATE OF CHANGE

Answer

COMMON RATIO

Question 2

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 3

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 4

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

Accepted Answer

Decay

Answer

Growth

Question 5

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

Accepted Answer

Growth

Answer

Decay

Question 6

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 7

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.

Accepted Answer

y=6(1.14)^x

Answer

y=6(0.14)^x

Answer

y=6(1+14)^x

Answer

y=6(0.86)^x

Question 8

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 9

Identify the y-intercept (initial value) in the function f(x)=13(.27)^x

Accepted Answer

13

Answer

(.27)x

Answer

.27

Answer

3.51

Question 10

Identify the y-intercept (initial value) of the function f(x)=2(4)^x.

Accepted Answer

2

Answer

4

Answer

(2)x

Answer

8

Question 11

What is r, the decay rate, for the function: f(x) = 800(0.85)^x?

Accepted Answer

0.15

Answer

800

Answer

0.85

Answer

x

Question 12

Does the function y=3(0.25)^x represent

Accepted Answer

exponential decay

Answer

exponential growth

Answer

linear growth

Answer

linear decay

Question 13

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 14

What is the starting point in the function:

y = 1.275(2.983)^x ?

Accepted Answer

1.275

Answer

2.983

Question 15

What is the starting point in the function:

y = 7^x ?

Accepted Answer

1

Answer

7

Question 16

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

Accepted Answer

300

Answer

1.16

Answer

.16

Answer

x

Question 17

The initial value of an exponential function is 0.73. The rate of decay is 6%. Which function models the value of the function, y, over time t?

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 18

An exponential function decays at a rate of 20% and has an initial value of 13. Which represents the function?

Accepted Answer

y=13(0.8)^t

Answer

y=-13(0.2)^t

Answer

y=13(1.8)^t

Answer

y=13-(0.2)^t

Question 19

The initial value of an exponential function is 1.8. The rate of growth is 4.2%. Which models the value of the function, y, over time t?

Accepted Answer

y=1.8(1.042)^t

Answer

y=1.8(1.42)^t

Answer

y=1.8+4.2^t

Answer

y=1.8(4.2^t)

Question 20

An exponential function has a growth rate of 9% and an initial value of 350. Which represents the function?

Accepted Answer

y=350(1.09)^x

Answer

y=3.5+(1.09)^x

Answer

y=350(1.9)^x

Answer

y=350+(1.09)^x

Question 21

My money tripled each month after I initially started with $6.

Accepted Answer

f(x)=6(3)^x

Answer

f(x)=6(1.03)^x

Answer

f(x)=3(6)^x

Answer

f(x)=6(.97)^x

Question 22

I initially had 50 bacteria in science class and they decreased by 12% each year.

Accepted Answer

f(x)=50(.88)^x

Answer

f(x)=50(.12)^x

Answer

f(x)=50(1.12)^x

Answer

f(x)=1.12(50)^x

Question 23

I started with $2,000 in my bank account and it increased by 7% each year.

Accepted Answer

f(x)=2000(1.07)^x

Answer

f(x)=2000(0.07)^x

Answer

f(x)=.07(2000)^x

Answer

f(x)=1.07(2000)^x

Question 24

What is the y-intercept of the function?

Accepted Answer

3

Answer

2

Answer

1

Answer

-2

Question 25

What type of function is f(x)=2(1/7)^x ?

Accepted Answer

Exponential Decay

Answer

Exponential Growth

Answer

Linear

Answer

None of the Abovee

Question 26

What is the equation of the horizontal asymptote?

Accepted Answer

y=0

Answer

y=1

Question 27

This graph represents:

Accepted Answer

Exponential Growth

Answer

Exponential Decay

Answer

Direct Variation

Answer

None of the above

Question 28

Is the pictured graph growth, decay, or linear?

Accepted Answer

Exponential Decay

Answer

Exponential Growth

Answer

Linear

Answer

None of the above

Question 29

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 30

What is the y-intercept of the function?

Accepted Answer

(0,3)

Answer

(0,2)

Answer

(0,1)

Answer

(0,-2)

Question 31

Find the exponential model of the function.

Accepted Answer

y = 100(.88)^x

Answer

y = 100(8.8)^x

Answer

y = 100(1.88)^x

Answer

y = 100(.12)^x

Question 32

Write the exponential regression equation for this data.

Accepted Answer

Y = 8.16(2.7)^X

Answer

Y = 81.6(2.7)^X

Answer

Y = 8.16(.27)^X

Answer

Y = 8.16(27)^X

Question 33

Write the exponential regression equation for this data.

Accepted Answer

Y = 8.16(2.7)^X

Answer

Y = 81.6(2.7)^X

Answer

Y = 8.16(.27)^X

Answer

Y = 8.16(27)^X

Question 34

After 9 days, approximately how many grams of this substance will exist?

Accepted Answer

about 64244

Answer

about 173602

Answer

about 23774

Answer

about 469111

Question 35

Greenville is having a blizzard.  It has already snowed 1 inch and the total will double each hour.  Write an equation for the total inch of snow in x hour.

Accepted Answer

y=1(2)x

Answer

y=1(1/2)x

Answer

y=2(1/2)x

Answer

y=2(2)x

Question 36

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

Accepted Answer

Y-INTERCEPT

Answer

SLOPE

Answer

RATE OF CHANGE

Answer

COMMON RATIO

Question 37

What is the equation of this table?

Accepted Answer

y=32(1/4)^x

Answer

y=512(1/4)^x

Answer

y=32(4)x

Answer

y=512(4)x

Question 38

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 39

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

Accepted Answer

y=15,000(0.92)^x

Answer

y=8(15,000)^x

Answer

y=15,000(1.08)^x

Answer

y=15,000(0.08)^x

Question 40

g(x)=3(2)^{x
Find g(3)}

Accepted Answer

24

Answer

216

Answer

18

Answer

28

Question 41

Your shiny new boat cost $7650.  The depreciation for your boat is 14% per year. What is the decay factor?

Accepted Answer

.86

Answer

0.14

Answer

14

Answer

1.14

Question 42

If the Exponential Regression for the table above is f(x)= 8.9(1.23)^x What is the estimated number of cell phone subscribers in 2018, if x represents the number of years since 1990?

Accepted Answer

2936 millions

Answer

847 millions

Answer

4441 millions

Answer

370 millions

Question 43

Find the 22nd term of the following sequence:
5, 8, 11, ...

Accepted Answer

68

Answer

14

Answer

63

Answer

71

Question 44

Identify the common difference.
97, 86, 75, 64, ...

Accepted Answer

-11

Answer

8

Answer

11

Answer

-8

Question 45

Identify the common difference.
3, 7, 11, 15, ...

Accepted Answer

4

Answer

6

Answer

5

Answer

2

Question 46

Find the 32nd term of this sequence.
34, 37, 40, 43, ...

Accepted Answer

127

Answer

32

Answer

64

Answer

356

Question 47

Find the 32nd term of this sequence.
9, 4, -1, -6, -11, ...

Accepted Answer

-146

Answer

81

Answer

-34

Answer

-225

Question 48

Find the 25th term of the sequence if a₁ = 5 and d = 0.5

Accepted Answer

17

Answer

18

Answer

15

Answer

14

Question 49

The next two terms of the sequence 4,7,10,13 are ....

Accepted Answer

16 and 19

Answer

15 and 19

Answer

16 and 18

Answer

15 and 18

Question 50

Determine whether the sequence is arithmetic, geometric, or neither.

Accepted Answer

arithmetic

Answer

geometric

Answer

neither

Question 51

Determine whether the sequence is arithmetic, geometric, or neither.

Accepted Answer

geometric

Answer

arithmetic

Answer

neither

Question 52

Determine whether the sequence is arithmetic, geometric, or neither.

Accepted Answer

geometric

Answer

arithmetic

Answer

neither

Question 53

Find the common ratio for the geometric sequence.

Accepted Answer

2

Answer

10

Answer

1/2

Answer

4

Question 54

Write the explicit formula for the geometric sequence.

Accepted Answer

a_n = 10(2)^n-1

Answer

a_n = 2(10)^n-1

Answer

a_n = 10(2)ⁿ

Answer

a_n = 2(10)ⁿ

Question 55

Find the common ratio for the geometric sequence.

Accepted Answer

-4

Answer

4

Answer

1/4

Answer

-1/4

Question 56

Write the explicit formula for the geometric sequence.

Accepted Answer

a_n = 3(-4)^n-1

Answer

a_n = 4(3)^n-1

Answer

a_n = 3(4)^n-1

Answer

a_n = -4(3)^n-1

Question 57

Find the common ratio for the geometric sequence.

Accepted Answer

2/3

Answer

3/2

Answer

-2/3

Answer

-3/2

Question 58

Write the explicit formula for the geometric sequence.

Accepted Answer

a_n = 162(2/3)^n-1

Answer

a_n = (2/3)(162)^n-1

Answer

a_n = 162(3/2)^n-1

Answer

a_n = 162 + (n-1)(-54)

Question 59

Find the common ratio for the geometric sequence.

Accepted Answer

1/2

Answer

2

Answer

-2

Answer

-1/2

Question 60

Write the explicit formula for the geometric sequence.

Accepted Answer

a_n = 100(1/2)^n-1

Answer

a_n = 2(100)^n-1

Answer

a_n = 100(2)^n-1

Answer

a_n = (1/2)(100)^n-1

Question 61

What is the 14th term of the geometric sequence?

Accepted Answer

4,782,969

Answer

14,348,907

Answer

1,594,323

Answer

45

Question 62

What is the 11th term of the geometric sequence?

Accepted Answer

-19,531,250

Answer

-5120

Answer

97,656,250

Answer

19,531,250

Exam 4.1 Review

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