(04/15) CRM Unit 5B: Exponential Growth/Decay Quiz

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

• y = 15(35)^x
• y = 15(1.35)^x
• y = 15(0.35)^x
• y = 35(1.15)^x

You purchase a car for $15,000. It depreciates at a rate of 8% per year. What is the value of the car at the end of 3 years?

• $10,582.34

• $1,200

• $14,999.76

• $11,680.32

What is the formula for exponential growth?

What is the formula for exponential decay?

The population of a town is 2500 and is decreasing at a rate of 3.5% per year. Use an exponential function to find the population of the town after 5 years.

Round to the nearest whole number (you can't have a fraction of a person).

(a)  

The population of a school is 800 students and is increasing at a rate of 2% per year. Use an exponential function to find the population of the school after 9 years.

Round to the nearest whole number.

(a)  

Kathy plans to purchase a car that depreciates at a rate of 12% per year. The initial value of the car is $21,000. Use an exponential function to find the value of the car after 3 years.

Round your answer to 2 decimal places.

(a)  

Twenty years ago, Mr. Davis purchased his home for $160,000. Since then, the value of the home has increased about 5% per year. Use an exponential function to find the value of the home today.

Round to two decimal places (like money).

(a)  

Jame's 70 in. giant peach doubles in size every week. Write an expression that would represent how big the peach is after 5 weeks.

• 70(2)³⁵
• 70(2)⁵
• 2(70)⁵
• 5(70)²

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

• y=78(0.5)^x
• y=78(1.5)^x
• y=78(2)^x