Exponential Growth & Decay Applications

The equation y = a(1 - r)^x is used for:

• 1/2 life

• Interest

• Exponential Growth

• Exponential Decay

Tags

CCSS.HSF-IF.C.8B

The equation y = a(1 + r)^x is used for:

• Exponential Growth

• Exponential Decay

• Half Life

• Interest

Tags

CCSS.HSF-IF.C.8B

What does "t" represent in both of the formulas to calculate exponential growth and decay?

f(t) = a (1 - r)^t

f(t) = a (1 + r)^t

• Three

• Time

• Two

• Total

Tags

CCSS.HSF-IF.C.8B

Make the percent to decimal.
7.25%

• 7.25
• 72.5
• 0.725
• 0.0725

Which of the following words show growth? SELECT ALL THAT APPLY.

• Decrease

• Increase

• Depreciate

• Decays

• Grows

Tags

CCSS.RI. 9-10.2

CCSS.RI.11-12.2

CCSS.RL.11-12.2

CCSS.RL.8.2

CCSS.RL.9-10.2

The expression 12(1.015)^t models the population of elephants in a wildlife refuge after t years since 1975.
Is the population of elephants increasing or decreasing?

• Increasing
• Decreasing

Tags

CCSS.HSF-IF.C.8B

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

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

The amount of ibuprofen (medicine for headaches) breaks down by 30% each hour. If a person took a 200 milligram ibuprofen, how much will be left after 3 hours?

• 5.4 mg
• 68.6 mg
• .0054 mg
• 2,400,000 mg

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

• Growth
• Decay

Tags

CCSS.HSF-IF.C.8B