Exponential Applications

Identify the percent (%) increase or decrease for the following function.

f(x) = 35 (1 – 0.06)^x

• Increase by 6%

• Decrease by 0.06%

• Increase by 0.06%

• Decrease by 6%

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.LE.A.1

What is the percent (%) of increase or decrease in the following function?

f(x) = 3000 (1 + 0.4)^x

• Decrease by 4%

• Increase by 4%

• Increase by 40%

• Decrease by 40%

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.B.6

CCSS.HSF.LE.A.1

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.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.B.5

Identify the percent (%) increase or decrease for the function below:

f(x) = 3000 (1.17)^x

• Increase by 0.17%

• Increase by 17%

• Decrease by 17%

• Decrease by 0.17%

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.B.5

Write the function for the info below.

Initial Value: 25,000

Decay: Decrease by 5%

• f(x)=0.05(25,000)^x

• f(x) = 0.95(25,000)^x

• f(x) = 25,000 (0.95)^x

• f(x) = 25,000 (1.05)^x

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

Jimmy purchased a rare coin for $350. It will appreciate (increase) in value by about 6% each year. Write the equation that represents this.

• f(x)=350(0.06)^x

• f(x)=0.06(350)^x

• f(x)=350(1 - 0.06)^x

• f(x)=350(1 + 0.06)^x

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

Luke purchased a car for $18,500. It will depreciate (decrease in value) 16% each year. Write an equation to represent the scenario.

• f(x)= 18,500 (1 + 0.16)^x

• f(x)= 0.16 (18,500)^x

• f(x)= 18,500 (1 - 0.16)^x

• f(x)= 0.84 (18,500)^x

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

A certain college has been raising tuition every year since the year it opened. The function T = 12,000 (1.03)^x represents the tuition, T, after x years.

If the college opened in the year 1990, what would you predict the tuition will be in the year 2020?

• $29,127

• $2,020

• 30 years

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.LE.A.1

CCSS.HSF.LE.B.5