Exponential Decay Ratio

IA: 1.8 Exponential Growth and Decay

Multiple Choice

What does the "a" represent in exponential growth and decay formulas?

• rate of change

• rate of growth or decay

• initial value

• time

Multiple Choice

What does the "r" represent in an exponential growth or decay function?

• rate of change

• rate of growth or decay

• initial value

• time

Multiple Choice

What does the "t" represent in exponential growth or decay functions?

• rate of change

• rate of growth or decay

• initial value

• time

Multiple Choice

What is the equation for exponential growth and decay?

• $$f\left(x\right)=a\cdot\left(r\right)^t$$

• $$f\left(x\right)=t\cdot\left(a\right)^r$$

• $$f\left(x\right)=r\cdot\left(t\right)^a$$

• $$f\left(x\right)=a\cdot\left(t\right)^r$$

Multiple Choice

The cost of tuition at a college is $12,000 and is increasing at a rate of 6% each year. Use an exponential function to find the tuition cost after 4 years.

• $12,072.31

• $15,149.72

• $52,163.27

Multiple Choice

Annual sales for a company are $149,999 and are increasing at a rate of 6% per year. Use an exponential function to find the annual sales after 7 years.

• $225,543.04

• $1,180,027.93

• $97,270.99

Multiple Choice

In 1985, there were 285 cell phone subscribers in Mayville. The number of subscribers increased by 75% per year after 1985. Find the number of subscriber in 2008.

• 79,660 subscribers

• 200,235,420 subscribers

• 110,845,988 subscribers

Multiple Choice

The value of a car is $18,000 and depreciating at a rate of 12% per year. Use an exponential function to find the value of the car after 10 years.

• $5,013.02

• $12,128.74

• $6,838.98

Multiple Choice

An investment of $8200 loses value at a rate of 2% per year. Use an exponential function to find the value of the investment after 9 years.

• $4,147.02

• $6,836.73

• $5,105.17

Multiple Choice

The population of a town is decreasing at a rate of 2.5% per year. If the population in 2000 was 28,000, what is the expected population in 2015 if this rate of decrease continues?

• 15,000 people

• 17,296 people

• 19,153 people

Open Ended

Do you have any questions about this lesson?

Multiple Choice

What does the "r" represent in an exponential growth or decay function?

• rate of change

• rate of growth or decay

• initial value

• time