Tony is a salesperson who earns $\$560$ per week plus $\$60$ for each sale he makes. This week, he wants to earn at least $\$920$ .

Question

Write and solve an inequality that represents the number of sales Tony must make this week to earn at least $\$920$ .
Write a sentence to represent the solution set in the context of the problem.
Show your work.

Respond in the space provided.

Answer 1

Let $x$ be the number of sales Tony makes in a week.

We can write the inequality as:

$560 + 60x \geq 920$

Solving for $x$:

$60x \geq 920 - 560$

$60x \geq 360$

$x \geq \frac{360}{60}$

$x \geq 6$

Therefore, Tony must make at least 6 sales this week to earn at least $920.

Sentence: Tony must make at least 6 sales this week to earn at least $920.