Question

Mr. Hardin, the golf coach at Salem High School, is purchasing equipment for the team. He can spend at most $1,500 to purchase golf clubs, which cost $130 per set, and golf balls, which cost $28 per case. Write 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 represent the situation with an inequality, we can start by defining our variables:

- Let \( x \) be the number of sets of golf clubs.
- Let \( y \) be the number of cases of golf balls.

Next, we note the costs associated with each item:

- Each set of golf clubs costs $130, so the total cost for golf clubs is \( 130x \).
- Each case of golf balls costs $28, so the total cost for golf balls is \( 28y \).

Since Mr. Hardin can spend at most $1,500, we can express this as an inequality:

\[
130x + 28y \leq 1500
\]

To write the inequality in standard form (Ax + By ≤ C), we rearrange it as follows:

\[
130x + 28y \leq 1500
\]

In this case, it is already in standard form where:
- \( A = 130 \)
- \( B = 28 \)
- \( C = 1500 \)

Thus, the final inequality in standard form is:

\[
130x + 28y \leq 1500
\]