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Exponential Growth and Decay

Authored by Jenna Ruth

Mathematics

9th - 12th Grade

Used 1+ times

Exponential Growth and Decay
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16 questions

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1.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

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(1+ 0.14)x

y=6(1 - 0.14)x

2.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

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

y=5000(1 - 0.30)x

y=30(5000)x

y=5000(1 + 0.30)x

y=5000xx

3.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Daniel’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

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

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

5.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Change 6.75% to a decimal.

67.5
.675
675
.0675

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

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?

9766
9006
9765
5433

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

A population of fish starts at 8,000 and decreases by 6% per year. What is the population of fish after 10 years?

14327
4309
839
7680

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