a high school coach needs to buy new athletic shorts for the 15 members of the basketball team. the coach…

a high school coach needs to buy new athletic shorts for the 15 members of the basketball team. the coach must spend less than $200 and needs to determine how much he can spend per pair of shorts. write and solve an inequality to determine the maximum price for each pair of shorts. what does the solution represent?\nthe coach may spend up to $13.33 per pair of shorts.\nthe coach may spend more than $13.33 per pair of shorts.\nthe coach may spend up to $14 per pair of shorts.\nthe coach may spend more than $14 per pair of shorts.

a high school coach needs to buy new athletic shorts for the 15 members of the basketball team. the coach must spend less than $200 and needs to determine how much he can spend per pair of shorts. write and solve an inequality to determine the maximum price for each pair of shorts. what does the solution represent?\nthe coach may spend up to $13.33 per pair of shorts.\nthe coach may spend more than $13.33 per pair of shorts.\nthe coach may spend up to $14 per pair of shorts.\nthe coach may spend more than $14 per pair of shorts.

Answer

Explanation:

Step1: Set up the inequality

Let $x$ be the price per pair of shorts. There are 15 members, so the total cost is $15x$. The coach must spend less than $200$, so the inequality is $15x<200$.

Step2: Solve the inequality

Divide both sides of the inequality $15x < 200$ by 15: $x<\frac{200}{15}=\frac{40}{3}\approx13.33$.

Answer:

The coach may spend up to $13.33 per pair of shorts.