Question

The volleyball team at Springdale High School has saved up $560, and the team plans to spend no more than that amount on balls and nets. A volleyball costs $9.18 and a net costs $19.85.
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 represent the situation using an inequality, we need to account for the costs of volleyballs and nets in relation to the total budget of $560.

First, we know:
- Each volleyball costs $9.18.
- Each net costs $19.85.

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

The total cost for the volleyballs and nets can be expressed as:
\[
9.18x + 19.85y
\]

Since the volleyball team plans to spend no more than $560, we can write the following inequality:
\[
9.18x + 19.85y \leq 560
\]

To write this in standard form, we usually want to have integer coefficients. We can eliminate the decimals by multiplying every term in the inequality by 100 (to shift the decimal point two places to the right):

\[
918x + 1985y \leq 56000
\]

This is the inequality in standard form representing the spending limit for the volleyballs and nets.