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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?

Respuesta :

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 [tex]y(t) = ae^{xt}[/tex] 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.

[tex]y(0) = 40000e^{0.048*0} = $ 40,000[/tex]

[tex]y(1) = 40000e^{0.048*1} = $ 41,920[/tex]

[tex]y(2) = 40000e^{0.048*2} = $ 43,932.16[/tex]

[tex]y(3) = 40000e^{0.048*3} = $ 46,040.90[/tex]

[tex]y(4) = 40000e^{0.048*4} = $48,250.87[/tex]

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