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 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 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 more than 120 customers this week to meet his goal.
James needs to serve more than 120 customers this week to meet his goal.
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Answer 1

Teddy's solution \( x > 120 \) indicates that James needs to serve more than 120 customers this week to meet his goal of earning more than $1,000.

Therefore, the correct interpretation in the context of the problem is:

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

This means that if James serves exactly 120 customers, he will not quite reach his goal, so he needs to serve at least 121 customers or more to earn more than $1,000.