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?\n\n- the coach may spend up to $13.33 per pair of shorts.\n- the coach may spend more than $13.33 per pair of shorts.\n- the coach may spend up to $14 per pair of shorts.\n- the 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?\n\n- the coach may spend up to $13.33 per pair of shorts.\n- the coach may spend more than $13.33 per pair of shorts.\n- the coach may spend up to $14 per pair of shorts.\n- the coach may spend more than $14 per pair of shorts.

Answer

Explanation:

Step1: Define the variable for the price

Let $x$ be the price per pair of shorts.

Step2: Set up the inequality

Total cost for 15 members must be less than $$200$. $$15x < 200$$

Step3: Solve for the price per pair

Divide both sides by 15 to isolate $x$. $$x < \frac{200}{15}$$

Step4: Calculate the numerical value

Perform the division and round to the nearest cent. $$x < 13.333...$$ $$x < 13.33$$

Step5: Interpret the result

The solution $x < 13.33$ means the price must be less than or up to $$13.33$.

Answer:

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