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?
Accepted Solution
A:
Answer:15x < 200; x < 13.33; the maximum price for a pair of shortsStep-by-step explanation:1. Set up the inequalityLet x = price of a pair of shorts. Then 15x = price of shorts for the teamYou have one condition:15x < 2002. Solve the inequality[tex]\begin{array}{rcl}15x & < & 200\\\\x & < & \dfrac{200}{15}\\\\x & < & \mathbf{13.333}\\\end{array}[/tex]3. Meaning of solutionThe solution represents the maximum price the coach can pay for a pair of shorts.If the coach pays $13.33 per pair, the total cost for the team will be $199.95, and the condition is satisfied.