Modeling With Exponential

This equation shows.....

• Exponential Decay

• Exponential Growth

• Linear Function

• None of these

This is an example of:

• Linear Growth

• Linear Decay

• Exponential Growth

• Exponential Decay

This is an example of:

• Linear Growth

• Linear Decay

• Exponential Growth

• Exponential Decay

There were 417 cell phones sold at an electronics store in January. Since then, cell phone sales at this store have increased at a rate of 3.75% per month. At this rate of growth, which function can be used to determine the monthly cell phone sales x months after January?

• f(x) = 417(3.75)^x

• f(x) = 417(0.0375)^x

• f(x) = 417(1.0375)^x

• f(x) = 417(1.375)^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

A website allows its users to submit and edit content in an online encyclopedia. The graph shows the number of articles a(t) in the encyclopedia months after the website goes live.

How many articles were in the encyclopedia when it went live?

• 0

• 30

• 60

• 180

The value of Amy's car depreciated each year after she bought it.

The function v(t) = 24,893(0.88)^t represents the value of Amy's car t years after she bought it.

What is the rate of depreciation?

• 0.12%

• 0.88%

• 12%

• 88%

The Miller family and the Adams family both purchased houses on the same day several years ago.

The Miller family bought their house for $159,352 and it has been increasing in value by 3.7% each year.

The value of the Adams family’s home since it was purchased, A(x) , can be modeled by the function A(x) = 142,809(1.04)^x, where x represents the number of years since the house was purchased.

Which family's home value is increasing at a faster rate?

• The Miller family

• The Adams family

Caiden earned $475 from mowing lawns last summer.He deposited this money in an account that pays an interest rate of 3.8% compounded annually. What will be his balance after 15 years?

• $827.52

• $831.10

• $839.45

• $846.80

Emily’s parents put $1,500 in her bank account for college tuition. At an interest rate of 8.25% compounded semiannually,what will be the balance after 18 years?

• $6,273.50

• $6,314.08

• $6,385.72

• $6,427.94