Quiz about Identifying Growth and Decay Factor

Question 1

What is the initial value for the exponential function:

f(x) = 300(1.16)^t?

Accepted Answer

300

Answer

1.16

Answer

.16

Answer

x

Question 2

Is this exponential growth or decay?

Accepted Answer

Decay

Answer

Growth

Question 3

What does the model P=A(1+r)^t best represent?

Accepted Answer

Exponential growth

Answer

Simple Interest

Answer

Compound Interest

Answer

Exponential Decay

Question 4

What type of function is f(x)=2(0.05)^x ?

Accepted Answer

Exponential Decay

Answer

Exponential Growth

Answer

Linear

Answer

None of the Abovee

Question 5

A new savings account is opened with $400 and gains 3% every year. What's the amount after 5 years?

Accepted Answer

$463.71

Answer

$415

Answer

$343.49

Answer

$460.12

Question 6

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 7

A city has a population of 21,517 based on a census taken in 1998. If the population is expected to grow by 11% annually, what will the population be in the year 2030?

Accepted Answer

606,900

Answer

517

Answer

492,573

Answer

None of these

Question 8

Give the rate of decay:
y = 35(0.65)^x

Accepted Answer

35%

Answer

65%

Answer

.35%

Answer

165%

Question 9

Use the function, M=.05(2)^t, where M is the amount of money you have after t days.
How much money will you have after 14 days?

Accepted Answer

$ 819.20

Answer

$ 8,192.00

Answer

$ 1.40

Answer

$ 819.02

Question 10

Use the function, N = 14,000(.96)^t.
Is the function INCREASING or DECREASING?

Accepted Answer

Decreasing

Answer

Increasing

Question 11

A stamp gets more expensive each year. It increases in value by 60 % each year. What is the GROWTH FACTOR?

Accepted Answer

1.6

Answer

.6

Answer

1.06

Answer

.4

Question 12

A stamp gets more expensive each year. It increases in value by 60 % each year. What is the GROWTH RATE?

Accepted Answer

0.6

Answer

0.06

Answer

1.6

Answer

.4

Question 13

What is the x-intercept of the exponential function?

Accepted Answer

There is not one

Answer

(0,1)

Answer

(0,0)

Question 14

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

9766

Answer

9006

Answer

9765

Answer

5433

Question 15

Classify the model as Exponential GROWTH or DECAY.
A=10(1.01)³

Accepted Answer

Growth

Answer

Decay

Question 16

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

Accepted Answer

Decay

Answer

Growth

Question 17

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 18

Anything raised to a power of zero is always:

Accepted Answer

1

Answer

0

Answer

itself

Answer

negative

Question 19

A population has a growth/decay factor of 1.045 What is happening to the population?

Accepted Answer

It grows at a rate of 4.5%

Answer

It grows at a rate of 45%

Answer

It dies at a rate of 45%

Answer

It dies at a rate of 1045%

Question 20

A population has a growth/decay factor of 0.90.  What is happening to the population?

Accepted Answer

It dies at a rate of 10%

Answer

It grows at a rate of 90%

Answer

It dies at a rate of 90%

Answer

It grows at a rate of 10%

Question 21

What is the growth or decay rate for the following equation?
y = 1/3(0.7)^x

Accepted Answer

30% decay

Answer

7% decay

Answer

70% decay

Answer

30% growth

Question 22

What is the growth or decay rate for the following equation?
y = 2.5(1.15)^x

Accepted Answer

15% growth

Answer

-15% decay

Answer

115% growth

Answer

25% growth

Question 23

Which of the following equations has a growth rate of 50%

Accepted Answer

y=3(1.5)x

Answer

y = 2(0.50)^x

Answer

y=1.2(2.5)^x

Answer

All of the equations show growth of 50%

Question 24

Which of the following equations has a decay rate of 20%

Accepted Answer

y = 2(0.80)^x

Answer

y=2(1.20)^x

Answer

y=2(.20)x

Answer

None of the equations show decay of 20%

Question 25

James' a 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 26

The value of a painting is $12,000 in 1990 and increases by 8% of its value each year.  Write and evaluate an expression to estimate the paintings value in 2005.

Accepted Answer

12,000(1.08)^t = $38, 066

Answer

1.08(12,000)^t = $36,000

Answer

12,000(0.5)^t = $10,000

Answer

12,000(0.92)^t= $40,000

Question 27

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

Accepted Answer

y=5000(0.7)^x

Answer

y=30(5000)^x

Answer

y=5000(1.3)^x

Answer

y=5000xx

Question 28

Use the function, N = 14,000(.96)^t.
What is the Initial Amount?

Accepted Answer

14,000

Answer

4%

Answer

.96

Answer

t

Question 29

A 78 gram sample of Uranium loses half of its mass each year.  What is the exponential equation?

Accepted Answer

y=78(0.5)^x

Answer

y=78(1.5)^x

Answer

y=78(2)x

Question 30

Solve for x.
5^x = 1

Accepted Answer

0

Answer

-1

Answer

2

Answer

1

Question 31

You have a boat worth $85,340 new. It depreciates by 25% of its value each year. It has been 48 months since you bought the boat. How much is it now worth?

hint: first think - how many years are 48 months?

Accepted Answer

$27,002

Answer

$333

Answer

$72,480

Answer

$14,943

Question 32

When do we have growth?
f(x) = (a)(b^x)

Accepted Answer

b > 1

Answer

a < 1

Answer

0 < b < 1

Answer

a > 1

Question 33

When does the exponential function show a decay, downward curve? f(x) = a(b)^x.

Accepted Answer

b < 1

Answer

a < 1

Answer

b > 1

Answer

a > 1

Question 34

Write the equation that represents the table below:

Accepted Answer

y=4(0.5)x

Answer

y=0.5(4)x

Answer

y=2(4)x

Answer

y=4(2)x

Question 35

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

Accepted Answer

Exponential Growth

Answer

Exponential Decay

Answer

Linear

Answer

None

Question 36

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

Accepted Answer

Exponential Growth

Answer

Exponential Decay

Answer

Linear

Answer

None

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