Exponential Functions Growth and Decay Word Problems

Determine if the equation y = 15(1.35)^x represents exponential growth or decay and justify. Hint: Think about the growth and decay equations.

• Growth, because the scale factor is greater than 1

• Growth, because the scale factor is less than 1

• Decay, because the scale factor is greater than 1

• Decay, because the scale factor is less than 1

Tags

CCSS.HSF-IF.C.8B

You have inherited land that was purchased for $30,000 in 1990. The value of the land increased by approximately 5% per year. What is the approximate value of the land in the year 2011?

• $83,579

• $10,217

• $14,963,655

• $28,500

Is this exponential growth or decay?

• Growth because a=1

• Decay because b=0.5

• Growth because there is no a

• Neither because a=0

Tags

CCSS.HSF-IF.C.8B

The population of Winnemucca, Nevada, can be modeled by P=6191(1.04)^t where t is the number of years since 1990. What percent did the population increase each year?

• 104%

• 4%

• 40%

• 400%

Tags

CCSS.HSF-LE.A.1C

Your shiny new boat cost $7650.  The depreciation for your boat is 14% per year. Estimate the value of your vehicle in 3 years. What is the equation that models this problem?

• y= 7650(.14)³

• y= 7650(.86)³

• y= 7650(1+.86)³

• y = 7650(1.14)³

Is y = 54(.20)^x growth or decay?

• Growth because of the 54

• Decay because of the .20

• Decay because of the 54

• Growth because of the .20

Tags

CCSS.HSF-IF.C.8B

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

What is the growth factor?

• $35,000

• 0.05

• 1.05

• 0.95

Tags

CCSS.HSF-IF.C.8B

Daniel’s Print Shop purchased a new printer for $35,000. Each year it depreciates (loses value) at a rate of 5%.

Does this situation represent growth or decay?

• growth

• decay

Tags

CCSS.HSF-IF.C.8B

Daniel’s Print Shop purchased a new printer for $35,000. Each year it depreciates (loses value) at a rate of 5%.

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