Exploring Exponential Growth and Decay

What is the range of the decay factor in an exponential decay function?

• -1 to 0

• 1 to 100

• Any positive number

• 0 to 1

Tags

CCSS.HSF-IF.C.8B

What indicates that a function is experiencing exponential decay?

• The base is greater than 1

• The starting amount is decreasing

• The base is less than 1

• The exponent is negative

Tags

CCSS.HSF-IF.C.8B

In the given example, what was the annual decrease in whole milk consumption per person?

• 4.1%

• 16.5 gallons

• 95.9%

• 7.1 gallons

Tags

CCSS.HSF.BF.A.2

What was the starting amount of whole milk consumed per person in 1980?

• 95.9%

• 4.1%

• 7.1 gallons

• 16.5 gallons

Tags

CCSS.HSF.LE.B.5

How is the decay factor calculated for the given problem?

• Multiplying the percentage decrease by 100

• 100 minus the percentage decrease

• Dividing the percentage decrease by 100

• Adding the percentage decrease to 100

Tags

CCSS.HSF-IF.C.8B

What was the approximate consumption of whole milk per person in 2000?

• 4.1 gallons

• 16.5 gallons

• 95.9 gallons

• 7.1 gallons

Tags

CCSS.HSF.IF.A.2

How many years passed between 1980 and 2000 in the example?

• 30 years

• 20 years

• 40 years

• 10 years

Tags

CCSS.6.EE.B.6

What does the 'x' in the decay formula represent?

• Percentage decrease

• Time

• Decay factor

• Starting amount

Tags

CCSS.HSF-IF.C.8B

What is the correct formula for calculating the decay in the example?

• y = 16.5 / 0.959^x

• y = 16.5 - 0.959^x

• y = 16.5 + 0.959^x

• y = 16.5 * 0.959^x

Tags

CCSS.HSF.LE.A.2

What is the significance of the base being less than 1 in the decay formula?

• It indicates exponential decay

• It has no significance

• It indicates exponential growth

• It represents a constant function

Tags

CCSS.HSF-IF.C.8B