Question

Mr. Merritt, the golf coach at Lexington High School, is purchasing equipment for the team. He can spend at most $1,600 to purchase golf clubs, which cost $120 per set, and golf balls, which cost $27 per case. Select the inequality in standard form that describes this situation. Use the given numbers and the following variables. x = the number of sets of golf clubs y = the number of cases of golf balls

Answer 1

To model the situation described, we want to express the total cost of purchasing golf clubs and golf balls in terms of the number of sets of golf clubs (x) and the number of cases of golf balls (y).

The cost of the golf clubs is given by \( 120x \) (since each set of golf clubs costs $120), and the cost of the golf balls is given by \( 27y \) (since each case of golf balls costs $27).

The total amount that Mr. Merritt can spend on both the golf clubs and golf balls is at most $1,600. This relationship can be expressed as an inequality:

\[
120x + 27y \leq 1600
\]

To put this inequality in standard form, we typically want to have all terms on one side and have the right side equal to 0. So we can rearrange the inequality slightly to show it in standard form:

\[
120x + 27y - 1600 \leq 0
\]

Thus, the inequality in standard form that describes this situation is:

\[
120x + 27y \leq 1600
\]