Question

Quentin works as a used car salesman, where he earns $8 per hour and an average commission of $260 per car sold. He wants to earn at least $1040 per week. What does the point (35,3) represent in this context?

Answer 1

(35,3) represent a possible solution for the context. If he works 35 hours and sells 3 cars we will earn $1060 per week.

Explanation:

Let x be the number of hours worked by Quentin

Let y be the number of cars sold by Quentin

Then, given the information that he ears $8 per hour and an average commission of $260 per car sold:

`8x+260y\ge1040`

Then, the points (35,3) represent:

`\begin{gathered} 8(35)+260(3)\ge1040 \\ 1060\ge1040 \end{gathered}`

(35,3) represent a possible solution for the context. If he works 35 hours and sells 3 cars we will earn $1060 per week.