I need help with quadratic equation word problem.

Question

Jefferson makes a base salary of $2400 per month. Once he reaches $46000 in total sales, he earns an additional 5% commission(salary) on the amount of sales over $46000. Let s be the amount of his total sales for the month and G(s) be the amount of his salary for the month.

a. Graph G(s) for s values between $0 and $100000 in sales. Indicate your scale on both the horizontal and vertical axes, and be sure to label what quantities (salary or sales) each axis represents.

b. If Jefferson had $76000 in sales, how much was his salary for that month?

c. If Jefferson's total salary for a month was $4500, how much was his total sales for that month?

d. Compute G(23000) and interpret what this means in the context of the problem(in terms of the monthly salary and the sales).

Answer 1

2400/mo

sales-46000/mo=x*.05

2400+(76000-46000)*.05=$3900