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?

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?

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 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

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

Answer 2

Just out of curiousity, how many customers would he need to serve?

Answer 3

Teddy's interpretation of the solution, x > 120, means that James would need to serve more than 120 customers. Since James earns $5 in tips for each customer he serves, he would need to serve more than 120 customers to earn more than $1,000. The exact number of customers he would need to serve would depend on how much more than $1,000 he wants to earn.