Free Printable Unit 8 Exponential Growth & Decay (Multiple Representations)

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Unit 8 Exponential Growth & Decay (Multiple Representations)

Total questions: 25

Worksheet time: 52mins

Name

Class

Date

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

Exponential Growth

Exponential Decay

Linear

None

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

Growth

Decay

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

300

1.16

.16

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

Exponential Growth

Exponential Decay

Linear

None

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

Growth

Decay

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

300

1.16

.16

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

y = 15(35)^x

y = 15(1.35)^x

y = 15(0.35)^x

y = 35(1.15)^x

Classify the model as Exponential GROWTH or DECAY.

$A=10(1.01)^3$

Growth

Decay

Classify the model as Exponential GROWTH or DECAY.

$A=1200(.85)^6$

Growth

Decay

10.

Pick the equation that is exponential decay

y=2000(0.88)

y=0.5(1.88)

11.

An antibiotic is introduced into a colony of 12,000 bacteria during a laboratory experiment. The colony is decreasing by 14.9% per minute. Which function can be used to model the number of bacteria in the colony after x minutes?

f(x) = 12000(14.9)^x

f(x) = 12000(85.1)^x

f(x) = 12000(0.149)^x

f(x) = 12000(.851)^x

12.

Twenty years ago, Mr. Davis purchased his home for $160,000. Since then, the value of the home has increased about 5% per year. How much is the home worth today?

$176,783.29

$424,527.63

$57,357.75

$532,041,076.80

13.

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

y=5000(0.7)^x

y=30(5000)^x

y=5000(1.3)^x

y=5000x^x

14.

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.

y=6(0.14)^x

y=6(1.14)^x

y=6(14)^x

y=6(0.86)^x

15.

Moody's Print Shop purchased a new printer for $35,000. Each year it depreciates at a rate of 5%. How much will the printer be worth in 8 years?

$23,219.72

$136.72

$51,710.94

$16,710.94

16.

Which color functions is exponential?

Blue

Green

Red

Yellow

17.

Twenty years ago, Mr. Davis purchased his home for $160,000. Since then, the value of the home has increased about 5% per year. How much is the home worth today?

$176,783.29

$424,527.63

$57,357.75

$532,041,076.80

18.

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

y=5000(0.7)^x

y=30(5000)^x

y=5000(1.3)^x

y=5000x^x

19.

Moody's Print Shop purchased a new printer for $35,000. Each year it depreciates at a rate of 5%. How much will the printer be worth in 8 years?

$23,219.72

$136.72

$51,710.94

$16,710.94

20.

Which color functions is exponential?

Blue

Green

Red

Yellow

21.

The attendance at the art museum at the New Year’s opening was 250 people. The attendance has been increasing at a rate of 3% each month. How many people will attend by the end of a year?

356

265

5825

1329

22.

Choose the equation that represents the scenario. A company with 8 founders triples each year.

$y\ =\ 3\left(8\right)^x$

$y\ =\ 8\left(3\right)^x$

y = 3x + 8

y = 8x + 3

23.

Write the exponential function for t(1) = 27 t(2) = 9.

$y=81(3)^x$

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

$y\ =\ 3\left(\frac{1}{3}\right)^x$

$y\ =\ 81\left(\frac{1}{3}\right)^x$

24.

You have $10 in your bank account. It doubles every month. Which exponential equation models the scenario?

y = 2x + 10

y = 10x + 2

$y\ =\ 10\left(2\right)^x$

$y\ =\ 2\left(10\right)^x$

25.

Write the exponential function for the information given in the table.

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Unit 8 Exponential Growth & Decay (Multiple Representations)

Total questions: 25

Worksheet time: 52mins

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