Trenton gets a job as a server in a restaurant. In addition to the $7 he gets paid for each hour he works, Trenton receives up to an additional $100 a day in tips. Write a two-variable inequality to model the given problem, where x represents the number of hours he works in a day and y represents the amount he earns. Which of the following inequalities would describe this scenario?(1 point)

Answer 1

To model Trenton's earnings from his job as a server, we'll denote:

• \( x \) as the number of hours he works in a day.
• \( y \) as the total amount he earns in a day.

Trenton earns $7 per hour for his work, so his earnings from his hourly wage can be represented as \( 7x \).

In addition to his hourly wage, he can earn up to $100 in tips. Therefore, the total earnings \( y \) can be expressed in relation to the hours worked \( x \) as:

\[ y \leq 7x + 100 \]

Thus, the inequality that represents the situation is:

\[ y \leq 7x + 100 \]

This inequality states that Trenton's earnings \( y \) will be less than or equal to the amount he earns from working \( 7x \) plus his tips, which could be as much as $100.