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 , 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 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 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 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.

1 answer

Teddy correctly set up the inequality \(5x + 400 > 1000\) to represent James's earnings, where \(x\) is the number of customers served. After solving this inequality, he found that \(x > 120\).

The correct interpretation of this solution in the context of the problem is:

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

This means that James must serve at least 121 customers (since he cannot serve a fraction of a customer) in order to earn more than $1,000 this week.