Evaluating Exponential Functions

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the value of the car after 7 years, rounded to the nearest cent.

• $800

• $8367.70

• $6600

• $25,707.36

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week. What type of function does the situation represent?

• Increasing LINEAR

• Decreasing LINEAR

• EXPONENTIAL growth

• EXPONENTIAL decay

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.A.3

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

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

Write an equation that models the following situation:

Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

• y = 6(0.14)^x

• y = 6(1 + 14)^x

• y = 6(1.14)^x

• y = 6(0.86)^x

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

You bought a Boston Whaler in 2004 for $12,500. The boat's value depreciates by 7% a year. How much is the boat worth after 8 years?

• $11,625

• $6994.77

• $21,477

• $875

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

An adult takes 800 mg of ibuprofen. Each hour, the amount of ibuprofen in the person’s system decreases by about 29%. How much ibuprofen is left after 6 hours? 

• 101
• 102
• 103
• 104

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

Denise has $80 in a savings account that earns 10% annual interest.

To the nearest cent, how much will she have in 3 years?

• $106.48

• $26.48

• $8

• $104

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

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?

• 9,765

• 9,006

• 5,433

• 5,000

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

Use the function, M =.05(2)^t, where M is the amount of money you have after t days.

How much money will you have after 14 days?

• $ 819.20

• $ 8,192.00

• $ 1.40

• $ 819.02

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.LE.A.1

CCSS.HSF.LE.B.5

Use the function, N = 14,000(.96)^t. Where N is the number of employees and t is the number of years.

How many employees will there be after 3 years?

• 14,000 employees

• 12,386 employees

• 40,360 employees

• 15,748 employees

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.LE.A.1

CCSS.HSF.LE.B.5