Question

Question

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 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

Teddy correctly wrote the inequality \(5x + 400 > 1000\) to represent the situation where James earns $400 a week plus $5 in tips per customer, and he wants to know how many customers he needs to serve to exceed his $1,000 goal.

After solving the inequality, Teddy found that \(x > 120\). This means that James must serve more than 120 customers in order to meet his earning goal of more than $1,000 for the week.

Therefore, the correct interpretation of Teddy's solution in the context of the problem is:

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