Question
The volleyball team at Danville High School has saved up $680, and the team plans to spend no more than that amount on balls and nets. A volleyball costs $8 and a net costs $40.
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
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
Answers
GPT-4o mini
To write the inequality in standard form that describes the situation, we start by relating the costs of the volleyballs and nets to the total budget.
Given the following:
- The cost of one volleyball is $8.
- The cost of one net is $40.
- The total budget is $680.
We can express the total cost as:
\[ 8x + 40y \]
where:
- \( x \) is the number of volleyballs,
- \( y \) is the number of nets.
Since the team wants to spend no more than $680, we can write the inequality as:
\[ 8x + 40y \leq 680 \]
To convert this inequality to standard form \( Ax + By \leq C \), we can rearrange it into the form:
\[ 8x + 40y \leq 680 \]
In this case, \( A = 8 \), \( B = 40 \), and \( C = 680 \).
Thus, the inequality in standard form is:
\[
8x + 40y \leq 680
\]
Given the following:
- The cost of one volleyball is $8.
- The cost of one net is $40.
- The total budget is $680.
We can express the total cost as:
\[ 8x + 40y \]
where:
- \( x \) is the number of volleyballs,
- \( y \) is the number of nets.
Since the team wants to spend no more than $680, we can write the inequality as:
\[ 8x + 40y \leq 680 \]
To convert this inequality to standard form \( Ax + By \leq C \), we can rearrange it into the form:
\[ 8x + 40y \leq 680 \]
In this case, \( A = 8 \), \( B = 40 \), and \( C = 680 \).
Thus, the inequality in standard form is:
\[
8x + 40y \leq 680
\]