An event planner wants to order some ice sculptures as decorations for a company party. Small sculptures cost $130 and large sculptures cost $450, and the maximum budget for this portion of the party is $2,200.

Question

Select the inequality in standard form that describes this situation. Use the given numbers and the following variables.
x = the number of small ice sculptures
y = the number of large ice sculptures

Answer 1

To set up the inequality that describes the budget for the ice sculptures using the given variables:

• Let \( x \) be the number of small ice sculptures, which cost $130 each.
• Let \( y \) be the number of large ice sculptures, which cost $450 each.
• The total budget for the sculptures is $2,200.

We can express the cost of the sculptures mathematically as follows:

\[ 130x + 450y \leq 2200 \]

This represents the inequality in standard form, where:

• \( 130x \) is the total cost of the small sculptures,
• \( 450y \) is the total cost of the large sculptures,
• and the sum of these costs must be less than or equal to the budget of $2,200.