Answered

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?

Verified Answer :

cjmauldin2

no it does not represent a linear function.

mominetti

Answer:

Hi!

The answer is false.

The data represent a exponential function.

Step-by-step 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.

\(y(0) = 40000e^{0.048*0} = $ 40,000\)

\(y(1) = 40000e^{0.048*1} = $ 41,920\)

\(y(2) = 40000e^{0.048*2} = $ 43,932.16\)

\(y(3) = 40000e^{0.048*3} = $ 46,040.90\)

\(y(4) = 40000e^{0.048*4} = $48,250.87\)

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