Exponential Growth and Decay Factors

If something has exponential decay, the "b" value is _____?

• between 0 and 1

• greater than 1

• less than 1

• equal to 1

Tags

CCSS.HSF-IF.C.8B

A house was just purchased for $300,000. The value of the home is expected to grow exponentially at a rate of 12.7% per year. Which function represents this situation?

Tags

CCSS.HSF.LE.A.2

The population of a small town is currently 15,000 people. The town has had limited growth and the population is actually declining at a rate of 8.5% each year. Which function below represents this situation?

Tags

CCSS.HSF.LE.A.2

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

Is this exponential growth or decay?

• Growth, because of 7

• Decay, because of 1.2

• Growth because of 1.2

• Decay because of 7

Tags

CCSS.HSF-IF.C.8B

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.HSF.LE.A.2

What type of function does the equation y = 2^x represent?

• Exponential Growth

• Exponential Decay

• Linear

• Quadratic

Tags

CCSS.HSF-IF.C.8B

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

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