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.

Answer 1

Let $x$ represent the number of sales Tony must make.

The total amount Tony earns can be represented by the inequality:

$560 + 60x \ge 920$

Solve for $x$:

$60x \ge 360$

$x \ge 6$

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