Free Printable Exponential Growth and Decay - including % increase/decrease!

1.

Choose the equation that represents the scenario:

There are 8 boar in Mr. Bean’s woods. Their population increases by 24% every year.

a)

$b\left(t\right)=8\left(0.24\right)^t$

b)

$b\left(t\right)=8\left(1.24\right)^t$

c)

$b\left(t\right)=0.24\left(8\right)^t$

d)

$b\left(t\right)=1.24\left(8\right)^t$

2.

The population of Brustville is currently 30,000 people. If the population increases by 103.7% annually, find the population of Brustville in 10 years. Round to the nearest whole number.

(a)

3.

Choose the equation that fits these points.

a)

$f\left(x\right)=6\left(7\right)^x$

b)

$f\left(x\right)=6+7x$

c)

$f\left(x\right)=6\left(42\right)^x$

d)

$f\left(x\right)=2\left(5.8\right)^x$

4.

Determine the initial value (a) and the percent increase: $y=-5\left(1.237\right)^x$

a)

a = 5

23.7% increase

b)

a = -5

123.7% increase

c)

a = -5

23.7% increase

d)

a = 5

123.7% increase

5.

Determine the initial value (a) and the percent increase: $y=5.8\left(2.101\right)^x$

a)

a = 5.8

10.1% increase

b)

a = 5.8

210.1% increase

c)

a = -5

23.7% increase

d)

a = 5.8

110.1% increase

6.

Is the following function exponential growth or decay? $f\left(x\right)=2.3\left(0.07\right)^x$

a)

Growth

b)

Decay

7.

Is the following function exponential growth or decay? $f\left(x\right)=0.07\left(2.3\right)^x$

a)

Growth

b)

Decay

8.

Choose the equation that represents the scenario:

A new van is purchased for $30,000 and depreciates in value by 8.4% per year.

a)

$V\left(t\right)=30000\left(-8.4\right)^t$

b)

$V\left(t\right)=30000\left(0.084\right)^t$

c)

$V\left(t\right)=30000\left(0.916\right)^t$

d)

$V\left(t\right)=30000\left(1.916\right)^t$

9.

The new tires on an ATV have a tread depth of 1.3 inches and decay at a rate of 5.6% per month. How much tread is left on the tires after 4 months? Round to the nearest hundredth (two decimal places).

(a)

10.

Determine the initial value (a) and the percent decrease: $y=502\left(0.6\right)^x$

a)

a = 502

40% decrease

b)

a = 502

60% decrease

c)

a = -5

23.7% increase

d)

a = 5.8

110.1% increase

Exponential Growth and Decay - including % increase/decrease!

Total questions: 10

Worksheet time: 6mins

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