Exponential Function 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.HSF-IF.C.8B

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.HSF-IF.C.8B

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.HSF.LE.A.2

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.HSF.LE.A.2

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

Olivia would like to buy some new furniture for her home. She decides to buy the furniture on credit with 9.5% interest compounded quarterly. If she spent $7,400, how much total will she have paid after 8 years.

• $15,415.94
• $15,683.28
• $15,927.56
• $16,109.05

How many times does compounded quarterly a year mean?

• 4 
• 12
• 52
• 365

The attendance at the art museum at the New Year’s opening was 250 people. The attendance has been increasing at a rate of 3% each month. How many people will attend by the end of a year?

• 356
• 265
• 5825
• 1329

Tags

CCSS.HSF.BF.A.2

You bought a brand new car for $45,000. The car depreciates at approximately 7% per year. How much will the car be worth after 8 years? Round to the nearest whole dollar.

• $77,318

• $41,850

• $25,181

• The value won't change at all.

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