Exponential Equations and Applications

The population of Hickory NC, can be modeled by P=6191(1.04)t where t is the number of years since 1995. What was the population in 1995?

• 6191

• 1

• 1995

• 1.04

Ash has $8,000 in a savings account. The interest rate is 3% compounded once a year.

To the nearest cent, how much will he have in his account in 4 years?

• $9,004.07

• $2,2848.80

• $9,011.94

• $8,242.71

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

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

• x = 5

• x = -5

• x = 1/5

• x = -1/5

What is the base in the expressions.

• 3

• 7

• -3

• -7

Identify the percent (%) increase or decrease for the following function. f(x) = 35 (1 – 0.06)

• 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

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