Applications of Exponential Growth and Decay

An equation in the form y=b^x will represent decay if...

• b < 0

• b > 1

• 0 < b < 1

Tags

CCSS.HSF-IF.C.8B

Which of the following functions represents exponential DECAY? (Select ALL that apply)

• f(x) = 7⋅(2/3)^x

• f(x) = 7⋅(3/2)^x

• f(x)= (1/2)⋅(3)^x

• f(x)= (2)⋅(.33)^x

Tags

CCSS.HSF-IF.C.8B

Gasoline costs $1.99 per gallon. If the price per gallon increases an average of 6% per month, which function models the exponential growth of the pricing?

• 1.06(1.99)^t

• 1.99(1.06)^t

• [1.06(1.99)]^t

• 1.99(.94)^t

Tags

CCSS.HSF.LE.A.2

You put $2000 in the bank and earn interest at a 2.5% rate compounded yearly. How much will you have after 15 years?

• $30,758.65

• $2,001.56

• $2,908.85

• $2,896.60

Does the following equation model growth or decay?
y = 500(.35)^x + 7

• Growth
• Decay

Tags

CCSS.HSF-IF.C.8B

Does the following represent growth or decay?
y = 1/2(3)^x + 2

• Growth
• Decay

Tags

CCSS.HSF-IF.C.8B

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+.86/1)^3*1

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 yearly. What will be his balance after 15 year?

• $827.52

• $831.10

• $839.45

• $846.80

Olivia would like to buy some new furniture for her home. She decides to buy the furniture on credit with 9.5% interest compounded quarterly. If she spent $7,400, how much total will she have paid after 8 years.

• $15,415.94
• $15,683.28
• $15,927.56
• $16,109.05

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSA.SSE.B.4

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2