Quiz about Exponential Growth and Decay Factors and Rates

Question 1

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

Accepted Answer

Decay

Answer

Growth

Question 2

Is the following graph growth or dacay?

Accepted Answer

Decay

Answer

Growth

Question 3

Pick the equation that is exponential growth

Accepted Answer

y = 0.5(2)^x

Answer

y=2(0.5)x

Question 4

Pick the equation that is exponential decay

Accepted Answer

y=2000(0.88)

Answer

y=0.5(1.88)

Question 5

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

Accepted Answer

Growth

Answer

Decay

Answer

Linear

Answer

None

Question 6

What type of function is f(x)=2(1/7)^x ?

Accepted Answer

Exponential Decay

Answer

Exponential Growth

Answer

Linear

Answer

None of the Abovee

Question 7

What type of function is y = 7(5/4)^x?

Accepted Answer

Exponential Growth

Answer

Exponential Decay

Answer

Linear

Answer

None of the above

Question 8

Is the equation y=2x+4 linear, exponential or neither?

Accepted Answer

Linear

Answer

Exponential

Answer

Neither

Question 9

Is the equation linear, exponential or neither?

Accepted Answer

Exponential

Answer

Linear

Answer

Neither

Question 10

Is the graph linear, exponential or neither?

Accepted Answer

Linear

Answer

Exponential

Answer

Neither

Question 11

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

Accepted Answer

Exponential Growth

Answer

Exponential Decay

Answer

Linear

Answer

None

Question 12

Is this exponential growth or decay?

Accepted Answer

Decay

Answer

Growth

Question 13

What is a, the starting term, for the function: f(x) = 800(0.85)^x?

Accepted Answer

800

Answer

0.85

Answer

0.15

Answer

x

Question 14

A population of 2200 beetles is too large to sustain and decreases in population each month at a rate of 5%. How would you write your decay factor, b?

Accepted Answer

.95

Answer

-5

Answer

-.05

Answer

.05

Question 15

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

Accepted Answer

y = 15(1.35)^x

Answer

y = 15(35)^x

Answer

y = 15(0.35)^x

Answer

y = 35(1.15)^x

Question 16

What is the decay rate in the following model?
A=1200(.85)⁶

Accepted Answer

-.15

Answer

-1200

Answer

6

Answer

-6

Question 17

James' 70 in. giant peach doubles in size every week. Write an expression that would represent how big the peach is after 5 weeks.

Accepted Answer

70(2)5

Answer

70(2)35

Answer

2(70)5

Answer

5(70)2

Question 18

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.

Accepted Answer

y=6(1.14)^x

Answer

y=6(0.14)^x

Answer

y=6(1+14)^x

Answer

y=6(0.86)^x

Question 19

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

Accepted Answer

4309

Answer

14327

Answer

839

Answer

7680

Question 20

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?

Accepted Answer

9765

Answer

9766

Answer

9006

Answer

5433

Question 21

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?

Accepted Answer

$424,527.63

Answer

$176,783.29

Answer

$57,357.75

Answer

$532,041,076.80

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