Modeling Exponential Functions

What is the equation of the following table? HINT: Use your STAT Key on your calculator

• y = 7(2)^x

• y = 4x + 7

• 1

• 2

• 3

• 4

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

• 2

• 8

• 4

• x

What represents Growth/Decay on f(x)=a⋅b^x ?

• x

• a

• b

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

• x

• b

• a

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

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

is it a growth factor or a decay factor?

• Growth Factor

• Decay Factor

Write the equation of the exponential function for the given table.