Quiz about Exponents Growth and Decay

Question 1

Rewrite log₂8 = 3 in exponential form.

Accepted Answer

23 = 8

Answer

28 = 3

Answer

32 = 8

Answer

83 = 2

Question 2

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 3

To solve 8 = 2^5x+7, you would need to re-write 8 as what base?

Accepted Answer

2

Answer

8

Answer

4

Answer

Cannot be determined

Question 4

To solve 36 = 6^x, re-write 36 as what base and exponent?

Accepted Answer

62

Answer

36

Answer

63

Answer

312

Question 5

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 6

Solve: 7^-x = 49

Accepted Answer

x = -2

Answer

x = 1

Answer

x = -1

Answer

x = 2

Question 7

Solve the exponential equation:

Accepted Answer

9/4

Answer

-11/4

Answer

6

Answer

8

Question 8

23n = 4

Accepted Answer

2/3

Answer

2

Answer

3

Answer

4

Question 9

Is this exponential growth or decay?

Accepted Answer

Decay because b=0.5

Answer

Growth because a=1

Answer

Growth because there is no a

Answer

Neither because a=0

Question 10

Which of the following functions represents exponential growth?

Accepted Answer

$$f(x) = 5 \cdot 1.5^x$$

Answer

$$f(x) = 3 \cdot 2^{-x}$$

Answer

$$f(x) = 4 \cdot 0.5^x$$

Answer

$$f(x) = 2 \cdot (-3)^x$$

Question 11

Identify the decay factor in the function .

Accepted Answer

0.8

Answer

0.2

Answer

1.2

Answer

1.8

Question 12

Which of the following represents an exponential decay function?

Accepted Answer

$$g(x) = 5 \cdot 0.9^x$$

Answer

$$g(x) = 7 \cdot 3^x$$

Answer

$$g(x) = 2 \cdot 1.1^x$$

Answer

$$g(x) = 4 \cdot 2^x$$

Question 13

A particular type of cell doubles in number every hour. which function can be used to predict the number of cells present at the end of h hours if there are initially 4.

Accepted Answer

b

Answer

a

Answer

c

Answer

d

Question 14

Question 14.

Accepted Answer

9a8 / 4b2

Answer

9b2 / 4a8

Answer

9a⁴b⁶/4

Answer

9a4 / 4b2

Question 15

A population of bacteria doubles every 3 hours. If the initial population is 200, what will the population be after 9 hours?

Accepted Answer

1600

Answer

400

Answer

800

Answer

1800

Exponents Growth and Decay

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