Real Life Exponential Functions

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?

A shipping company started with 40 employees. The number of employees in the shipping company increases at a rate of 7.5% each year. What function can be used to model the number of employees, f(x), in the shipping company after x years?

The amount of downloads for an album on iTunes, g(d), where d is the number of days since the album was first uploaded can be represented as
g(d) = 5^1.5d
How many downloads will the album have after 3 days?

• 125

• 11

• 1398

• 140

• 14

• 34

• 36

• 13

The graph shows the number of game consoles sold in millions since 2009. Based on this information, which function best models the number of game consoles sold in millions x years since 2009?

An experiment begins with 20 grams of a radioactive isotope. This isotope has a half-life. If y is the mass in grams remaining after x half-lives have elapsed, which equation represents the amount of grams the isotope will weigh after 4 half-lives?

Create the exponential function with the following attributes:

Asymptote: y = 0

Initial value: 3

Point on the graph: (2, 6)

Growth

Part B: Write the exponential function model for the situation. USE a Regression in desmos.

Hint: type values in a table.

y1~ab^x1

Mathematical Equivalence

ON