Question
The Belleville High School softball coach is purchasing equipment for her team. She has a budget of at most $500 to purchase bats and softballs. A case of softballs has a price of $25, and a bat has a price of $20.
Select the inequality in standard form that describes this situation. Use the given numbers and the following variables.
x = the number of cases of softballs
y = the number of bats
Select the inequality in standard form that describes this situation. Use the given numbers and the following variables.
x = the number of cases of softballs
y = the number of bats
Answers
GPT-4o mini
To describe the situation using an inequality in standard form, we can establish an equation based on the prices of softballs and bats and the total budget.
Given:
- A case of softballs (x) costs $25.
- A bat (y) costs $20.
- The total budget is at most $500.
The inequality that represents this situation can be formulated as follows:
\[
25x + 20y \leq 500
\]
This inequality states that the total cost of the cases of softballs and bats cannot exceed $500.
To put this into standard form \(Ax + By \leq C\), we rearrange it as:
\[
25x + 20y \leq 500
\]
Where:
- \(A = 25\)
- \(B = 20\)
- \(C = 500\)
Therefore, the inequality in standard form is:
\[
25x + 20y \leq 500
\]
Given:
- A case of softballs (x) costs $25.
- A bat (y) costs $20.
- The total budget is at most $500.
The inequality that represents this situation can be formulated as follows:
\[
25x + 20y \leq 500
\]
This inequality states that the total cost of the cases of softballs and bats cannot exceed $500.
To put this into standard form \(Ax + By \leq C\), we rearrange it as:
\[
25x + 20y \leq 500
\]
Where:
- \(A = 25\)
- \(B = 20\)
- \(C = 500\)
Therefore, the inequality in standard form is:
\[
25x + 20y \leq 500
\]