Question

Mr. Kimball receives a $3000 annual salary increase on the anniversary of his hiring if he receives a satisfactory performance review. His starting salary was $41,250. Write an equation to show k, Mr. Kimball's salary after t years at this company if his performance reviews are always satisfactory.

Answer 1

`Salary = 38250+ 3000t`

Explanation:

`Base\ Salary = \$41,250`

`Increment = \$3000`

Required

Determine the salary after t years

This question depicts Arithmetic Progression and will be solved using;

`T_n = a + (n - 1)d`

Where

`a = 41250`

`d = 3000`

`n = t`

Tn = Salary at t years'

So, we have:

`T_n = a + (n - 1)d`

`Salary = 41250 + (t - 1) * 3000`

`Salary = 41250 + 3000t - 3000`

`Salary = 41250 - 3000+ 3000t`

`Salary = 38250+ 3000t`