Question
The volleyball team at Somerville High School has saved up $680, and the team plans to spend no more than that amount on balls and nets. A volleyball costs $9 and a net costs $41.
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
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 represent the budget constraints of the volleyball team in standard form, we can set up the inequality based on the cost of the volleyballs and nets with the following variables:
- \(x\) = the number of volleyballs
- \(y\) = the number of nets
The cost of each volleyball is $9, so the total cost of \(x\) volleyballs is \(9x\).
The cost of each net is $41, so the total cost of \(y\) nets is \(41y\).
The team has a budget of $680, so we need to express that the total cost of volleyballs and nets should be less than or equal to $680.
This leads to the inequality:
\[
9x + 41y \leq 680
\]
To convert this into standard form \(Ax + By \leq C\), we keep the inequality as is since it is already in standard form:
\[
9x + 41y \leq 680
\]
Here, \(A = 9\), \(B = 41\), and \(C = 680\).
- \(x\) = the number of volleyballs
- \(y\) = the number of nets
The cost of each volleyball is $9, so the total cost of \(x\) volleyballs is \(9x\).
The cost of each net is $41, so the total cost of \(y\) nets is \(41y\).
The team has a budget of $680, so we need to express that the total cost of volleyballs and nets should be less than or equal to $680.
This leads to the inequality:
\[
9x + 41y \leq 680
\]
To convert this into standard form \(Ax + By \leq C\), we keep the inequality as is since it is already in standard form:
\[
9x + 41y \leq 680
\]
Here, \(A = 9\), \(B = 41\), and \(C = 680\).