https://file.aiquickdraw.com/mathbot/file/1726607580307y7v885wg.jpg

The problem shown in the image reads as follows:

"You are paid $60 a week plus $5 per sale. At least how many sales do you need to make in order to earn over $350. Write and solve an inequality to represent the word problem."

Let's define:
- $ x $ = number of sales made in a week.

The total weekly income is given by the fixed weekly pay of $60 plus $5 for each sale. The expression for your total earnings is:
\[
\text{Total earnings} = 60 + 5x
\]

The question asks how many sales are needed to earn over $350. So, we set up the inequality:
\[
60 + 5x > 350
\]

Now, solving this inequality:
\[
5x > 350 - 60
\]
\[
5x > 290
\]
\[
x > \frac{290}{5}
\]
\[
x > 58
\]

Therefore, you need to make at least **59 sales** to earn over $350.

Would you like more details on any part of the solution?

Here are 5 related questions to consider:
1. How would the inequality change if the base pay was $70 per week?
2. What if the amount earned per sale increased to $7 per sale instead of $5?
3. How would the number of sales needed change if you wanted to earn exactly $400 instead of $350?
4. If you made 45 sales in a week, how much would you earn?
5. What if there was also a deduction of $20 from your weekly earnings for some reason? How would the inequality change?

**Tip:** Always start by defining your variable clearly when setting up word problems, as it makes it easier to write and solve equations or inequalities.

You are paid $60 a week plus $5 per sale. At least how many sales do you need to make in order to earn over $350. Write and solve an inequality to represent the word problem.

Learn how to solve an inequality where you earn $60 a week plus $5 per sale. This problem teaches the steps needed to determine how many sales are required to earn over $350, using key algebraic concepts such as linear equations and inequalities. Suitable for Grades 6-8.

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