Exponential Growth and Decay Quiz

What is the formula for exponential growth?

• y = a * (1 + r)/t

• y = a * (1 - r)/t

• y = a * (1 - r)^t

• y = a * (1 + r)^t

Tags

CCSS.HSF-LE.A.1A

If a population doubles every 5 years, what is the growth factor?

• 2

• 3

• 10

• 5

Tags

CCSS.HSF-LE.A.1A

Write the exponential growth equation if a population of 100 is growing by 5% every year.

• y = 100 * (1.1)^x

• y = 100 * (0.95)^x

• y = 100 * (1.5)^x

• y = 100 * (1.05)^x

Tags

CCSS.HSF.LE.A.2

What is the formula for exponential decay?

• y = a * (1 + r)^t

• y = a * (1 - r)^t

• y = a * (1 - r)/t

• y = a * (1 + r)/t

Tags

CCSS.HSF-LE.A.1A

If a radioactive substance decays to 1/4 of its original amount every 10 years, what is the decay factor?

• 1/4

• 1/2

• 2

• 1/3

Tags

CCSS.HSF-LE.A.1C

Determine the decay factor for an exponential decay equation with a decay rate of 15% per year.

• 1.15

• 0.15

• 0.75

• 0.85

Tags

CCSS.HSF-IF.C.8B

A town has 200 residents. Every year 20% of the residents move away. Write the exponential function to represent this situation.

• y = 200 * (0.6)^x

• y = 200 * (0.5)^x

• y = 200 * (0.8)^x

• y = 200 * (0.9)^x

Tags

CCSS.HSF.LE.A.2

What does the growth factor represent in exponential growth?

• Decreasing factor

• Constant multiplier

• Additive factor

• Subtraction factor

Tags

CCSS.HSF-IF.C.8B

How does the decay factor affect the rate of decay in exponential decay?

• It only affects the initial quantity

• It increases the rate of decay

• It has no effect on the rate of decay

• It determines how quickly the quantity decreases over time.

Tags

CCSS.HSF-IF.C.8B

Calculate the growth factor for an exponential growth equation with a growth rate of 8% per year.

• 1.08

• 0.08

• 0.92

• 1.8

Tags

CCSS.HSF-IF.C.8B