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)

Answer 1

Teddy's interpretation of the solution \( x > 120 \) in the context of the problem means that James needs to serve more than 120 customers in order to earn more than $1,000 this week.

In practical terms, since \( x \) represents the number of customers, James must serve at least 121 customers (since he cannot serve a fraction of a customer) to exceed his target earnings of $1,000. This is how many customers he needs to serve to meet his goal of increasing his overall earnings beyond the $1,000 threshold.