Quiz about Exponential Math Review

Question 1

Suppose a culture of bacteria begins with 5000 cells and dies at a rate of 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 2

Find the decay factor from the given graph.

Accepted Answer

$$\frac{1}{3}$$

Answer

$$3$$

Answer

$$1$$

Answer

$$\frac{1}{9}$$

Question 3

Which of the following functions shows an initial amount of $150 and an increase of 2.5% each year?

Accepted Answer

y = 150(1.025)^x

Answer

y = 150(2.5)^x

Answer

y = 150(3.5)^x

Answer

y = 35(1.25)^x

Question 4

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(1.014)^x

Answer

y=6(0.86)^x

Question 5

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

Accepted Answer

Y-INTERCEPT

Answer

SLOPE

Answer

RATE OF CHANGE

Answer

COMMON RATIO

Question 6

Solve the equation for x.

Accepted Answer

7.389

Answer

0.693

Answer

0.0183

Answer

6.581

Question 7

Which equation matches the graph?

Accepted Answer

y = 2-x

Answer

y = 2x+3

Answer

y = 2^x + 3

Answer

y = 2x

Question 8

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 9

Select all the equations that represent exponential decay.

Accepted Answer

$$y=60\left(0.7\right)^x$$

Accepted Answer

$$y=4\left(\frac{1}{2}\right)^x$$

Accepted Answer

$$y=3\left(0.6\right)^x$$

Answer

$$y=\frac{1}{2}\left(4\right)^x$$

Answer

$$y=80\left(1.4\right)^x$$

Question 10

Which equation represents the given table?

Accepted Answer

$$y=15\left(0.8\right)^x$$

Answer

$$y=15\left(1.8\right)^x$$

Answer

$$y=15\left(1.2\right)^x$$

Answer

$$y=15\left(0.2\right)^x$$

Answer

$$y=-3x+15$$

Question 11

If a function is growing at a rate of 2.7%, then which of the following is the growth factor?

Accepted Answer

1.027

Answer

1.27

Answer

0.973

Answer

2.7

Question 12

This is an example of: $$f\left(x\right)=3\left(\frac{5}{2}\right)^x$$

Accepted Answer

Exponential Growth

Answer

Linear Growth

Answer

Linear Decay

Answer

Exponential Decay

Question 13

The amount of ants in a colony, f, that is decaying can be modeled by

f(x) = 800(0.87)^x, where x is the number of days since the decay started. By what percentage is the colony decaying?

Accepted Answer

13%

Answer

87%

Answer

800%

Answer

8.7%

Question 14

The value of an account after k years can be found using the model $$f\left(k\right)=300\left(1.035\right)^k$$ . What is the percent annual rate of change in the value of the account?

Accepted Answer

3.5%

Answer

35%

Answer

96.5%

Answer

0.35%

Exponential Math Review

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