Question
The volleyball team at Centerville High School has saved up $550, and the team plans to spend no more than that amount on balls and nets. A volleyball costs $7 and a net costs $32. Select 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
Answers
GPT-4o mini
To express the situation mathematically, we need to create an inequality that captures the total cost of volleyballs and nets in terms of the number of each item they plan to purchase.
Given:
- The cost of each volleyball is $7: \(7x\)
- The cost of each net is $32: \(32y\)
- The total budget is $550.
The inequality representing their budget can be formulated as:
\[
7x + 32y \leq 550
\]
This inequality indicates that the combined cost of \(x\) volleyballs and \(y\) nets cannot exceed $550.
To rewrite this inequality in standard form, we rearrange it:
\[
7x + 32y - 550 \leq 0
\]
Thus, the inequality in standard form is:
\[
7x + 32y \leq 550
\]
or equivalently,
\[
7x + 32y - 550 \leq 0.
\]
Given:
- The cost of each volleyball is $7: \(7x\)
- The cost of each net is $32: \(32y\)
- The total budget is $550.
The inequality representing their budget can be formulated as:
\[
7x + 32y \leq 550
\]
This inequality indicates that the combined cost of \(x\) volleyballs and \(y\) nets cannot exceed $550.
To rewrite this inequality in standard form, we rearrange it:
\[
7x + 32y - 550 \leq 0
\]
Thus, the inequality in standard form is:
\[
7x + 32y \leq 550
\]
or equivalently,
\[
7x + 32y - 550 \leq 0.
\]