Free Printable Exponential Growth and Decay

1.

What is the growth factor if the growth rate is 23%?

(a)

2.

What is the growth factor if the growth rate is 8.3%?

(a)

3.

What is the decay factor if the decay rate is 23%?

(a)

4.

Which of the following equations represents exponential growth? Choose all that apply.

a)

$y=18\left(1.5\right)^x$

b)

$y=0.75\left(1.05\right)^x$

c)

$A=120\left(\frac{1}{2}\right)^{\frac{t}{100}}$

d)

$P=87\left(\frac{2}{3}\right)^t$

e)

$M=\frac{3}{4}\left(2\right)^t$

5.

Which of the following equations represents exponential decay? Choose all that apply.

a)

$y=0.75\left(1.6\right)^x$

b)

$y=230\left(0.78\right)^x$

c)

$A=120\left(\frac{1}{2}\right)^{\frac{t}{12}}$

d)

$P=5\left(\frac{4}{5}\right)^t$

e)

$M=\frac{3}{4}\left(3\right)^t$

6.

The equation $A=125\left(\frac{1}{2}\right)^{\frac{t}{50}}$ gives the amount, in grams, of a radioactive substance remaining after t years. How many grams of the substance was there initially?

(a)

7.

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

a)

SLOPE

b)

RATE OF CHANGE

c)

Y-INTERCEPT

d)

COMMON RATIO

8.

The mice population is 25,000 and is decreasing by 20% each year. What will be the mice population after 3 years?

a)

12,800

b)

15,777

c)

102, 475

d)

2,500

9.

Your new computer cost $1500 but it depreciates in value by about 18% each year. How much will your computer be worth in 6 years? (Round to the nearest cent.)

a)

$456.01

b)

$556.98

c)

$778.22

d)

$332.63

10.

Write an equation that models the following situation:

Samantha's hair was known to grow very rapidly. It began at a length of 6 inches and grew at a rate of 14% a week.

a)

y=6(0.14)^x

b)

y=6(1 + 14)^x

c)

y=6(1 + .14)^x

d)

y=6(0.86)^x

11.

Is this exponential growth or decay?

a)

Growth because a=1

b)

Decay because b=0.5

c)

Growth because there is no a

d)

Neither because a=0

12.

Is this exponential growth or decay?
y = 7(1.2)^x

a)

Growth, because of 7

b)

Decay, because of 1.2

c)

Growth because of 1.2

d)

Decay because of 7

13.

Your shiny new boat cost $7650. The depreciation for your boat is 14% per year. Estimate the value of your vehicle in 3 years. What is the equation that models this problem?

a)

y= 7650(.14)³

b)

y= 7650(.86)³

c)

y= 7650(1+.86)³

d)

y = 7650(1.14)³

14.

Is the pictured graph exponential growth, exponential decay, or linear or none?

a)

Exponential Growth

b)

Exponential Decay

c)

Linear

d)

None of the above

15.

What is the initial value?

a)

0

b)

3

c)

33

d)

66

Exponential Growth and Decay

Total questions: 15

Worksheet time: 15mins

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