Question

Four years ago, you started a job with an annual salary of $40,000. At the end of each year on the job, you received a raise of  4.8%. The table shows your salary after each of your four annual raises.

Number of Years
Annual Salary
1
$41,920.00
2
$43,932.16
3
$46,040.90
4
$48,250.87



Does the data represent a linear function? Why or why not?

Answer 1

no it does not represent a linear function.

Answer 2

Hi!

The answer is false.

The data represent a exponential function.

Explanation:

The form of the exponential function is best represented by
`y(t) = ae^(xt)` where:

• a is the constant: $40000.
• x is the raise of 4.8% received, in the form 0.048.
• t is each year of job.

`y(0) = 40000e^(0.048*0) = $ 40,000`

`y(1) = 40000e^(0.048*1) = $ 41,920`

`y(2) = 40000e^(0.048*2) = $ 43,932.16`

`y(3) = 40000e^(0.048*3) = $ 46,040.90`

`y(4) = 40000e^(0.048*4) = $48,250.87`