Quiz about Exponential Growth and Decay

Question 1

Which of the following exponential functions represents an initial value of 1450 and a decay of 18% for x years?

Accepted Answer

$$y=1450\left(0.82\right)^x$$

Answer

$$y=1450\left(0.18\right)^x$$

Answer

$$y=1450\left(1.18\right)^x$$

Answer

$$y\ =\ 1450\ -\left(0.18\right)^x$$

Question 2

A flea medicine breaks down at a rate of 20% per hour. This is the rate of decay of the medicine. The initial dose is 60 milligrams. Which of the following represent the equation the models the amount of flea medicine left in an animal?

Accepted Answer

$$y=60\left(.8\right)^x$$

Answer

$$y=60\left(.2\right)^x$$

Answer

$$y=20\left(60\right)^x$$

Answer

$$y=60\left(1.2\right)^x$$

Question 3

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

Accepted Answer

Decay

Answer

Growth

Question 4

This is an example of:

Accepted Answer

Exponential Decay

Answer

Linear Growth

Answer

Linear Decay

Answer

Exponential Growth

Question 5

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 6

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 7

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

Accepted Answer

Decay

Answer

Growth

Question 8

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

Accepted Answer

300

Answer

1.16

Answer

.16

Answer

x

Question 9

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 10

Is this exponential growth or decay?

Accepted Answer

Growth

Answer

Decay

Answer

Linear

Question 11

What does the a in y=a(1+r)^x represent?

Accepted Answer

Initial Amount

Answer

Time

Answer

Rate

Answer

Slope

Question 12

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 13

Is this exponential growth or decay?

Accepted Answer

Decay

Answer

Growth

Question 14

Is y = 5(1.04)^x growth or decay?

Accepted Answer

Growth

Answer

Decay

Question 15

Is y = 4(.20)^x growth or decay?

Accepted Answer

Decay

Answer

Growth

Question 16

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

9766

Answer

9006

Answer

9765

Answer

5433

Exponential Growth and Decay

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