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

James needs to serve at least 120 customers this week to

Answer 1

Teddy's solution to the inequality \(5x + 400 > 1,000\) shows that \(x > 120\). In this context, \(x\) represents the number of customers James serves.

The correct interpretation of Teddy's solution is:

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

This means that in order for James to earn more than $1,000 for the week, he must serve a number of customers greater than 120, as serving exactly 120 customers would only bring his total earnings to $1,000, which does not meet his goal of earning more than that amount.