Question

The volleyball team at Rockport High School has saved up $540, and the team plans to spend no more than that amount on balls and nets. A volleyball costs $6 and a net costs $42.
Write the inequality in standard form that describes this situation. Use the given numbers and the following variables.
x = the number of volleyballs
y = the number of nets

Answer 1

To create the inequality describing the situation, we need to consider how the costs of volleyballs and nets relate to the budget of $540.

Given:
- Cost of one volleyball = $6
- Cost of one net = $42
- Total budget = $540

Let:
- \(x\) = the number of volleyballs
- \(y\) = the number of nets

The total cost for \(x\) volleyballs and \(y\) nets can be expressed as:

\[
6x + 42y
\]

The team plans to spend no more than $540, which gives us the inequality:

\[
6x + 42y \leq 540
\]

To express this in standard form \(Ax + By \leq C\), we need to rearrange it:

\[
6x + 42y \leq 540
\]

This is already in standard form, where:
- \(A = 6\)
- \(B = 42\)
- \(C = 540\)

Thus, the inequality in standard form is:

\[
6x + 42y \leq 540
\]