Math 201 question help

Question

Joe's annual income has been increasing each year by the same dollar amount. The first year his income was $22,000, and the 6th year his income was $28,500. In which year was his income $37,600?

 

 

Answer 1

In 5 years, his income increased by the difference between 22,000 and 28,500.

That amount is 6,500 or 1,300 per year (found by dividing by 5 years).

 

find the number of years it takes to get to 37,600 by either making a T-chart or using this equation.

22000 + 1300x = 37600

-22000              -22000

             1300x = 15600

           /1300      /1300

                  x = 12

 

It takes 12 raises to get to that amount ~*~BUT~*~ if you count the number of years, with 22,000 being the amount the first year, that salary is reached in the 13th year.

 

The answer is 13.