Combo: Exponential Equations + Applications

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

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%

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

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

How many times does compounded quarterly a year mean?

• 4 
• 12
• 52
• 365

What does the model P=A(1+r)^t best represent?

• Exponential growth
• Simple Interest
• Compound Interest
• Exponential Decay

Is the pictured graph growth, decay, or linear or none?  

• Exponential Growth
• Exponential Decay
• Linear
• None

Is this exponential growth or decay?

• Growth
• Decay

Solve: 9^8-x = 27^x-3

• x = 5
• x = -5
• x = 1/5
• x = -1/5

Sovle for x:
5^{-3x - 1} = 25

• x = -1
• x = -4
• x = -3
• x = 1