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

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.

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

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

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

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

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

Answer 2

No it does not represent a linear function.