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exponential growth and decay

Authored by Hannah Peterson

Mathematics

8th Grade

exponential growth and decay
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8 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)6

Growth
Decay

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

300
1.16
.16
x

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What is the balance of $6000 compounded annually at a rate of 4% for 10 years?

$8,881.47
$7,432.93
$8,400
$6,500

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

A population of fish starts at 8,000 and increases by 6% per year.

What is the fish population in 10 years?

14,32714,327

4,3094,309

839839

7,6807,680

5.

MULTIPLE CHOICE QUESTION

5 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

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Classify the model as Exponential GROWTH or DECAY.

 A=10(1.01)3A=10(1.01)^3  

Growth  y=a(1+r)ty=a\left(1+r\right)^t  

Decay  y=a(1r)ty=a\left(1-r\right)^t  

7.

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

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