Exp & Log Functions

Rhonda deposited $3000 in an account in the Merrick National Bank, earning 4.2% interest, compounded annually. She made no deposits or withdrawals. Write an equation that can be used to find B, her account balance after t years.

• B(t) = 3000(1 - 4.2)^t

• B(t) = 3000(1 + 4.2)^t

• B(t) = 3000(1 - 0.042)^t

• B(t) = 3000(1 + 0.042)^t

A car was purchased for $25,000. Research shows that the car has an average yearly depreciation rate of 18.5%. Create a function that will determine the value, V(t), of the car t years after purchase.

• V(t) = 25000(1 - 0.185)^t

• V(t) = 25000(1 + 0.185)^t

• V(t) = 25000(1 - 18.5)^t

• V(t) = 25000(1 + 18.5)^t

• 2

• 4

• 8

• 2

• 8

• 4

• x

What is the initial value of f(x)= a⋅b^x

• x

• b

• a

• A

• B

• C

• D

• A

• B

• C

• D

The bear population in a given area is currently 1580. They anticipate the bear population to decrease by 2% each year. Which function represents the population of bears, B, after t years.

• B = 1580(0.02)^t

• B = 1580(1 – 0.02)^t

• B = 1580(1 + 0.02)^t

• B = 1580(1 – 0.2)^t

The population of a town is currently 6342 and is increasing by a rate of 1.3% each year. Which function represents the population of people, P, after t years.

• P = 6342(1 + 1.3)^t

• P = 6342(1 – 1.3)^t

• P = 6342(1 + .013)^t

• P = 6342(1 – .013)^t

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

• y = 15(1.035)^x

• y = 15(1.35)^x

• y = 15(0.35)^x

• y = 15(0.65)^x