Free Printable Exponential Functions and Decay

Worksheets

Exponential Functions and Decay

Total questions: 36

Worksheet time: 26mins

Name

Class

Date

Which function is exponential?

f(x)

h(x)

g(x)

This is an example of:

(a)

Choose from the below words

Exponential Growth

Linear Growth

Linear Decay

Exponential Decay

This is an example of:

Linear Growth

Linear Decay

Exponential Growth

Exponential Decay

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

Exponential Growth

Exponential Decay

Linear

None

How do we know that is an example of an exponential growth?

Its a line going up

Its a line going down

Its a smooth curve going down

Its a smooth curve going up

A line that the graph continually approaches but never touches is a(n) _____________________

parabola

asymptote

rational function

None of these

Reminder: The asymptote is like a floor where the graph levels out but does not cross:

The asymptote is

y = 3

x = 3

y = 2

x = 2

What is the y-intercept?

(0,0)

(0,1)

(-3,0)

(0,-3)

Remember to change a percent to a decimal, you move the decimal point two places to the left. Move the decimal point to the right to change from a decimal to a percent.

Identify the percent (%) increase or decrease for the following function.

f(x) = 35 (1 – 0.06)^x

Increase by 6%

Decrease by 0.06%

Increase by 0.06%

Decrease by 6%

10.

Remember to change a percent to a decimal, you move the decimal point two places to the left. Move the decimal point to the right to change from a decimal to a percent.

What is the percent (%) of increase or decrease in the following function?

f(x) = 3000 (1 + 0.4)^x

Decrease by 4%

Increase by 4%

Increase by 40%

Decrease by 40%

11.

What is the original amount in the following equation?

f(x) = 250 (0.95)^x

250

f(x)

0.95

12.

What is the multiplier in the following equation?

f(x) = 250 (0.95)^x

250

f(x)

0.95

13.

What is the time in the following equation?

f(x) = 250 (0.95)^x

250

f(x)

0.95

14.

Write the function for the info below.

Initial Value: 25,000

Decay: Decrease by 5%

f(x)=0.05(25,000)^x

f(x) = 0.95(25,000)^x

f(x) = 25,000 (0.95)^x

f(x) = 25,000 (1.05)^x

15.

Jimmy purchased a rare coin for $350. It will appreciate (increase) in value by about 6% each year. Write the equation that represents this.

In this problem which number is the original amount?

350

0.06

1.06

16.

Jimmy purchased a rare coin for $350. It will appreciate (increase) in value by about 6% each year. Write the equation that represents this.

Which multiplier is correct for this problem?

(0.06)

(350)

(0.94)

(1.06)

17.

Jimmy purchased a rare coin for $350. It will appreciate (increase) in value by about 6% each year. How much will the coin be worth in 10 years? Write the equation that represents this.

What time is correct for this problem?

(1.06)

18.

Jimmy purchased a rare coin for $350. It will appreciate (increase) in value by about 6% each year. How much will the coin be worth in 10 years? Write the equation that represents this.

Which equation is correct for this problem?

$A=6\left(1.35\right)^t$

$A=350\left(0.94\right)^t$

$A=10\left(0.94\right)^{10}$

$A=350\left(1.06\right)^{10}$

19.

Jimmy purchased a rare coin for $350. It will appreciate (increase) in value by about 6% each year. How much will the coin be worth in 10 years?

How much is the coin worth?

120.6

188.5

626.80

5.9

20.

Luke purchased a car for $18,500. It will depreciate (decrease in value) 16% each year. Write an equation to represent the scenario.

f(x)= 18,500 (1 + 0.16)^x

f(x)= 0.16 (18,500)^x

f(x)= 18,500 (1 - 0.16)^x

f(x)= 0.84 (18,500)^x

21.

Luke purchased a car for $18,500. It will depreciate (decrease in value) 16% each year. What is Luke's car worth in 4 years?

$186,186.84

$187,416

$9,210.62

$9,345

22.

A certain college has been raising tuition every year since the year it opened. The function T = 12,000 (1.03)^x represents the tuition, T, after x years.

If the college opened in the year 1990, what would you predict the tuition will be in the year 2020?

$29,127

$2,020

30 years

23.

Does the following equation model growth or decay?
y = 500(.35)^x

Growth

Decay

24.

Does the following represent growth or decay?
y = 1/2(3)^x

Growth

Decay

25.

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?

y= 7650(.14)³

y= 7650(.86)³

y= 7650(1+.86/1)^3*1

26.

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the exponential equation?

y=8(15,000)^x

y=15,000(1.08)^x

y=15,000(0.92)^x

y=15,000(0.08)^x

27.

Cade earned $475 from mowing lawns last summer. He deposited this money in an account that pays an interest rate of 3.8%. What will be his balance after 15 year?

$827.52

$831.10

$839.45

$846.80

28.

Solve:

29.

This is an example of: $f\left(x\right)=\ 25\ \left(\ 0.20\right)^x$

Linear Growth

Linear Decay

Exponential Growth

Exponential Decay

30.

This is an example of: $f\left(x\right)=\ 0.25\ \left(\ 1.3\right)^x$

Linear Growth

Linear Decay

Exponential Growth

Exponential Decay

31.

P = 8(1.23)^t

What is the initial quantity?

(a)

32.

P = 8(1.23)^t

What is the growth rate?

Write as a percent!

(a)

33.

P = 8(1.23)^t

Is the function growth or decay?

Check the box:

Growth

Decay

34.

what tv show is this?

timmy terner

famliy faires

fairley odd parents

35.

what tv show is this?

spongeboob triangle pants

spongeboob circle pants

spongeboob square pants

spongebob square pants

36.

who is he?

phineas

freb

100 %

Exponential Functions and Decay

Total questions: 36

Worksheet time: 26mins

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