Exponential Functions Depreciate

Is this exponential growth or decay?

• Growth

• Decay

• A

• B

• C

• D

Most automobiles depreciate as they get older. Suppose an automobile that originally costs $14,000 depreciates by 20% of its value every year. 
What exponential equation can we create to model this situation?

• y=14000(.20)^x

• y=14000(.80)^x

• y=14000(1+.20)^x

• y=14000(1+.80)^x

Using the table below, find the equation that matches

• y = 20(2)^x

• y = 20(1/2)^x

• y = 2(20)^x

• y = 20(1.25)^x

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the decay factor?

• ^.08

• ^1.08

• .92

• 8

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

• y=5000(0.7)^x

• y=30(5000)^x

• y=5000(1.3)^x

• y=5000x^x

Write the multiplier for the following scenario.

A population is decaying at a rate of 5.1% per year.

• 1-5.1

• .949

• 1.051

• .051

Luke purchased a car for $18,500. It will depreciate (decrease in value) 16% each year. Write an equation to represent the scenario.

• f(x)= 18,500 (1 + 0.16)^x

• f(x)= 0.16 (18,500)^x

• f(x)= 18,500 (1 - 0.16)^x

• f(x)= 0.84 (18,500)^x

Given the following graph, what is the asymptote?

Paul's father purchased a used car for $16,000. The value of the car will depreciate by 12% per year. Which function describes the value of the car after t years?