Create an Exponential Function

What is a, the initial amount, for the function: f(x) = 300(1.16)^x?

• 300

• 1.16

• .16

• x

Write the equation of the exponential function for the given table. HINT: STAT EDIT STAT --> CALC #0

• A

• B

• C

• D

• A

• B

• C

• D

What is the equation of the following table?

HINT: Use your STAT Key on your calculator

• y = 7(2)^x

• y = 4x + 7

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

Marilyn collects old dolls. She purchases a doll for $450. Research shows this doll's value will increase by 2.5% each year. Write an equation that determines the value, V, of the doll t years after purchase.

• V(t) = (1 + 0.025)^t

• V(t) = (1 - 0.025)^t

• V(t) = (1 + 2.5)^t

• V(t) = (1 - 2.5)^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

John invested $900 in a savings account at a 2.3% annual interest rate. He made no deposits or withdrawals on the account. Write a function J(t) to represent the amount of money in the account after t years.

• J(t) = 900(1 - 0.23)^t

• J(t) = 900(1 + 0.23)^t

• J(t) = 900(1 + 0.023)^t

• J(t) = 900(1 - 0.023)^t

The rabbit population started at 65,000 rabbits. The population is decreasing at a rate of 1.5% each year. Write a function r(t) to represent the rabbit population after t years.

• r(t) = 65000(1 - 0.015)^t

• r(t) = 65000(1 + 0.015)^t

• r(t) = 65000(1 - 1.5)^t

• r(t) = 65000(1 + 1.5)^t