Exponential Growth and Decay Factors and Rates

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

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

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

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

• ^.08
• ^1.08
• .92
• 8

Tags

CCSS.HSF-LE.A.1C

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

• y = 15(35)^x
• y = 15(1.35)^x
• y = 15(0.35)^x
• y = 35(1.15)^x

Tags

CCSS.HSF.LE.A.2

Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)⁶

• Growth
• Decay

Tags

CCSS.HSF-IF.C.8B

Classify the model as Exponential GROWTH or DECAY.
A=10(1.01)³

• Growth
• Decay

Tags

CCSS.HSF-IF.C.8B

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