Question

6. As a salesperson, you are paid $57.32 once a week plus $3.25 per sale. This week you want your pay to be at least $195. Write an inequality for the number of sales you need to make and graph the solutions. Solve and graph the solutions.

Answer 1

We know that

• There is a one-time payment of $57.32.

,

• There is a weekly payment of $3.25 per sale.

,

• The minimum payment you want to get is $195.

Based on the given information, we can form the following inequality

`57.32+3.25w\ge195`

Then, we solve for w (sales)

`\begin{gathered} 3.25w\ge195-57.32 \\ 3.25w\ge137.68 \\ w\ge(137.68)/(3.25) \\ w\ge42.36 \end{gathered}`

So, you need to make at least 43 sales. Observe that we can't take 42 sales as an answer because that way there wouldn't be enough money to reach the payments.