Teddy is solving the following problem: James earns $400 a week plus $5 in tips for each customer he serves. He is hoping to earn more than $1,000 this week. How many customers would he have to serve to meet his goal? Describe the solutions. Teddy writes the inequality 5x+400>1,000

Question

, where x
is the number of customers James serves. Teddy solves the inequality and finds that x>120
. How should Teddy interpret this solution in the context of the problem?(1 point)
Responses

James needs to earn more than $120 each day this week to meet his goal.
James needs to earn more than $120 each day this week to meet his goal.

James needs to earn at least $120 each day this week to meet his goal.
James needs to earn at least $120 each day this week to meet his goal.

James needs to serve at least 120 customers this week to meet his goal.
James needs to serve at least 120 customers this week to meet his goal.

James needs to serve more than 120 customers this week to meet his goal.

Answer 1

To interpret Teddy's solution correctly, we should look at the original inequality \( 5x + 400 > 1,000 \). After solving it, he found that \( x > 120 \).

In this context, \( x \) represents the number of customers James serves. The inequality indicates that James needs to serve more than 120 customers to exceed his goal of earning more than $1,000.

Therefore, the appropriate interpretation of the solution is:

James needs to serve more than 120 customers this week to meet his goal.