Exponential Decay Functions

Question 1

Ginny is studying a population of frogs. She determines that the population is decreasing at an average rate of 3% per year. When she began her study, the frog population was estimated at 1,200. Which function represents the frog population after x years?

Revolt · Accepted Answer

f(x) = 1,200(0.97)x

Question 2

Chelsea is graphing the function f(x) = 20()x. She begins by plotting the initial value. Which graph represents her first step?

Revolt · Accepted Answer

On a coordinate plane, the point (0, 20) is graphed.

Question 3

Which is an exponential decay function?

Revolt · Accepted Answer

f start bracket x end bracket equals Three-halves start bracket Eight-sevenths end bracket superscript negative x

Question 4

Two exponential functions are shown in the table.

Revolt · Accepted Answer

The functions f(x) and g(x) are reflections over the y-axis.

Question 5

Terrence buys a new car for $20,000. The value of the car depreciates by 15% each year. If f(x) represents the value of the car after x years, which function represents the car’s value?

Revolt · Accepted Answer

f(x) = 20,000(0.85)x

Question 6

Hal is asked to write an exponential function to represent the value of a $10,000 investment decreasing at 2% annually. What multiplicative rate of change should Hal use in his function?

Revolt · Accepted Answer

0.98

Question 7

What is the multiplicative rate of change for the exponential function f(x) = ?

Revolt · Accepted Answer

0.4

Question 8

The table represents an exponential function.

Revolt · Accepted Answer

0.5

Question 9

The table represents an exponential function.

Revolt · Accepted Answer

Two-thirds

Question 10

The table represents an exponential function.

Revolt · Accepted Answer

One-fifth

Exponential Decay Functions Answers

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