Exponential and Logarithmic Applications

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

Change to Exponential Form:
log₆36 = 2

• 2⁶=36

• 6²=36

• 36²=6

• 36⁶=2

A population of a city is 422,000 and increases by 12% each year. Use an exponential function to find the population of the city after 8 years.

• 100,144 people

• 1,083,024 people

• 1,044,856 people

• 200,000 people

A new savings account is opened with $400 and gains 3% every year. What is the exponential function?

• f(x)=400(1+3)^x

• f(x)=400(1-0.03)^x

• f(x)=400(1+0.03)^x

• f(x)=400(0.03)^x

A car bought for $13,000 depreciates at 15% per year. Use and exponential function to find the value of the car after 5 years.

• $3698.00

• $26,000

• $4020.00

• $5768.17

Doug purchased land for $8000 in 1995. The value of the land depreciated by 4% each year thereafter. What was the value of the land in 2002? Which exponential function correctly models this problem?

• y = 8000(1 + .04)⁷

• y = 8000(.04)⁷

• y = 8000(1 - .04)⁷

• y = (1 - .04)⁷

The Mendez family just bought a home for $180,000. If the value of the home increases at a rate of 3% per year, use an exponential function to find the approximate value of the home after 10 years.

• $258,000

• $250,000

• $242,000

• $234,000

Ms. Reyes deposits $2500 in the bank and earns 5.49% interest monthly. Which equation can be used to determine the amount of money she has after 20 years?

• A(x) = 2500(1 + .0549/12)¹²⁽²⁰⁾

• A(x) = 2500(1 + .0549/12)⁽²⁰⁾

• A(x) = 2500(1 + .0549)⁽²⁰⁾

• A(x) = 2500(1 + .0549)¹²⁽²⁰⁾

What is the equation of this table?

• y=512(1/4)^x

• y=32(4)^x

• y=32(1/4)^x

• y=512(4)^x

Write the exponential regression equation for the data.

• Y=8.16(2.7)^x

• Y=81.6(2.7)^x

• Y=8.16(.27)^x

• Y=8.16(27)^x