Question

Jay makes a base salary of $2000 per month. Once he reaches $50000 in total sales, he earns an additional 5% commission (salary) on the amount of sales over $50000. Let s be the amount of his total sales for the month and j(s) be the amount of his salary for the month.

Answer 1

`j(s) = 0.05s -500`

Explanation:

Given

`Base\ Salary = 2000`

`Commission = 5\%` on Sales over 50000

Required

Determine the function j(s) for sales over 50000

Represent the total sales in a month with s.

Sales over 50000 in that month will be: s - 50000

So, the function j(s) is:

j(s) = Base Amount + Commission * Sales over 50000

`j(s) = 2000 + 5\% * (s - 50000)`

Convert % to decimal

`j(s) = 2000 + 0.05 * (s - 50000)`

Open bracket

`j(s) = 2000 + 0.05 * s - 0.05 * 50000`

`j(s) = 2000 + 0.05s - 2500`

Collect Like Terms

`j(s) = 0.05s - 2500 + 2000`

`j(s) = 0.05s -500`