Exponential Word Problems

Does the following equation model growth or decay?

y = 500(.30)^x + 7

• Growth by 30%

• Growth by 70%

• Decay by 30%

• Decay by 70%

Tags

CCSS.HSF-IF.C.8B

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

• y = 7650(1 + 0.14)³

• y = 7650(1 - 0.14)³

• y = 7650e^(0.14)(3)

• y = 7650 (1 + 0.14/12)^(12)(3)

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 value of a car is $15,000 and depreciates at a rate of 8% per year. What is the exponential equation?

• y=8(15,000)^x
• y=15,000(1.08)^x
• y=15,000(0.92)^x
• y=15,000(0.08)^x

Tags

CCSS.HSF.LE.A.2

Cade earned $475 from mowing lawns last summer. He deposited this money in an account that pays an interest rate of 3.8% compounded annually. What will be his balance after 15 year?

• $827.52
• $831.10
• $839.45
• $846.80

Approximately what interest rate would be needed in order to grow and investment of $1400 to $2500 in 10 years if the interest was compound monthly?

• 5.96%
• 5.84%
• 5.81%
• 5.88%

What is the percent (%) of increaase or decrease in the following equation?

f(x) = 250 (0.95)^x

• Decrease by 95%

• Increase by 5%

• Decrease by 5%

• Increase by 95%

Tags

CCSS.HSF-IF.C.8B

Given an investment of$ 1,500:
Which investment would have a larger balance after 5 years?
Option 1 - 4% compounded monthly
Option 2 - 3.9% compounded daily. 

• Option 1
• Option 2

Does the following represent growth or decay?

y = 1/2(1.25)^x + 2

• Growth by 25%

• Growth by 75%

• Decay by 25%

• Decay by 75%

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.B.5