Exponential Growth and Decay Word Problems - Fall 2021

Name(s)

Tags

CCSS.8.EE.C.7B

The population of a small town is 1600 and is increasing at a rate of 3% per year. Write an exponential function to model this situation. Then find the population of the town after 10 years.

• f(t) = 1600(1.03)^t; 2,150 people

• f(t) = 1600(0.97)^t; 1,738 people

• f(t) = 1600(1.03)^t; 2,128 people

• f(t) = 1600(0.97)^t; 1,819 people

Tags

CCSS.HSF.LE.A.2

You have inherited land that was purchased for $30,000. The value of the land increased by approximately 5% per year. What is the approximate value of the land 51 years later?

• $344,022

• $31,500

• $15,000

• $28,500

Tags

CCSS.HSF-LE.A.1C

The original value of a painting is $1400, and the value increases by 9% each year. Write an exponential growth function to model this situation.

• y=1400(1.09)^x
• y=1.09(1400)^x
• y=1400(.91)^x
• y=1.09^x

Tags

CCSS.HSF.LE.A.2

Cassandra bought an antique dresser for $500. The value of her dresser increases 6% annually.

Write the equation that represents the situation.

Write the equation using this format with no spaces:

y=a(b)^x

Tags

CCSS.HSF.LE.A.2

Cassandra bought an antique dresser for $500. The value of her dresser increases 6% annually.

What will be the value of the dresser at the end of 3 years? Round to the nearest cent.

Tags

CCSS.HSF.BF.A.2

A zombie infection in Yonkers Public Schools grows by 15% per hour. The initial group of zombies was a group of 4 freshmen. How many zombies were there after 24 hours? Round to the nearest WHOLE number.

Tags

CCSS.HSF-LE.A.1C

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?

• 9766
• 9006
• 9765
• 5433

Tags

CCSS.HSF.BF.A.2

A stamp gets more expensive each year.  It increases in value by 6% each year.  What will be the cost of a $0.58 stamp 3 years from now?

• $0.63

• $0.69

• $1.25

• $2.38

Tags

CCSS.HSF.BF.A.2

The city of Whoville has been much more stable since the Grinch turned his life around. The population of 900 is increasing at a rate of 7.5% per year. If the population continues growing at the same rate, how many people will there be in 11 years?

• 424288

• 1994

• 10642

• 900

Tags

CCSS.HSF-LE.A.1C