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 YearsAnnual Salary 1$41,920.002$43,932.163$46,040.904$48,250.87Does the data represent a linear function? Why or why not?
Answer
A
No, it does not appear on a straight line.
B
Yes, it appears on a straight line.
C
Yes, the average rate of change is constant.
D
There is not enough information to determine whether this is a linear function.
Explanation
A linear function has a constant amount added for each one-year increase. Here, the salary increases are $1,920.00, $2,012.16, $2,108.74, and $2,209.97, which are not constant. The salary grows by a percentage, so the data is not linear; choice A, “No, it does not appear on a straight line,” is correct.
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