Quiz about Exponential Functions Versus Growth and Decay

Question 1

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 2

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

Accepted Answer

Decay

Answer

Growth

Question 3

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

Accepted Answer

Growth

Answer

Decay

Question 4

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

Accepted Answer

Exponential Growth

Answer

Exponential Decay

Answer

Linear

Answer

None

Question 5

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 6

Is this exponential growth or decay?

Accepted Answer

Decay

Answer

Growth

Question 7

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 8

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 9

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 10

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 11

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

Question 12

All of the x values or inputs are called what?

Accepted Answer

Domain

Answer

Range

Answer

Relation

Answer

Function

Question 13

Which statement of the function is true?

Accepted Answer

The range is the set of all real numbers greater than 0

Answer

The range is the set of all real numbers less than 0

Answer

The domain is the set of all real numbers less than 0

Answer

The domain is the set of all real numbers greater than 0

Question 14

What is the domain of this function?

Accepted Answer

The set of all real x values

Answer

The set of all x values greater than 0

Answer

The set of all y values less than 0

Answer

The set of all real y values

Question 15

Change 6.75% to a decimal.

Accepted Answer

.0675

Answer

67.5

Answer

.675

Answer

675

Question 16

Olivia would like to buy some new furniture for her home. She decides to buy the furniture on credit with 9.5% interest compounded anually. If she spent $7,400, how much total will she have paid after 8 years.

Accepted Answer

$15,294.83

Answer

$15,415.94

Answer

$15,927.56

Answer

$16,109.05

Question 17

Denise has $10 in a savings account. The interest rate is 2.5%, compounded quarterly. How much will she have in 3 years?

Accepted Answer

$10.78

Answer

$10.68

Answer

$9.45

Answer

$11.23

Question 18

The amount (in grams) of the radioactive isotope rubidium-86 remaining after t days is y=a(0.5)^t/19, where a is the initial amount (in grams). What percent of the rubidium-86 decays each day?

Accepted Answer

3.58%

Answer

5%

Answer

50%

Answer

35.8%

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