Exponential Equations

• A.
• B.
• C.
• D.

• A.
• B.
• C.
• D.

Use the function, M=.05(2)^t, where M is the amount of money you have after t days.
Will the function be INCREASING or DECREASING?

• Increasing

• Decreasing

Use the function, M=.05(2)^t, where M is the amount of money you have after t days.
How much money will you have after 14 days?

• $ 819.20

• $ 8,192.00

• $ 1.40

• $ 819.02

Mathematical Equivalence

OFF

• 12.375 Years

• 177.073 Years

• 0.175 Years

• 17.509 Years

You invest $5,000 into a savings account that has an interest rate of 5% compounded continuously. In how many years will there be $12000 in the account?

• 12.375 Years

• 177.073 Years

• 0.175 Years

• 17.509 Years

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

• y = 15(35)^x

• y = 15(1.35)^x

• y = 15(0.35)^x

• y = 35(1.15)^x

Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

• y=6(0.14)^x

• y=6(1+14)^x

• y=6(1.14)^x

• y=6(0.86)^x

Identify the initial value:

y = 6.87 (4)^x

• a = 4

• a = 6.87

• a = 3

• a = 1