Question

Shelby is assembling centerpieces that use candles. A small centerpiece uses 2 candles and a large centerpiece uses 4 candles. Shelby is limited to using 71 candles, the number on hand.

write the inequality in standard form that describe this situation. use the given numbers and the following situation

x= the number of small centerpiece
y= the number of large centerpiece

?

Answer 1

The inequality representing Shelby's limit for the candles in the centerpieces is 2x + 4y ≤ 71, where x is the number of small centerpieces and y is the number of large centerpieces.

Step-by-step explanation:

Shelby is working on assembling centerpieces where a small centerpiece uses 2 candles and a large centerpiece uses 4 candles. Since she has a limit of 71 candles, the inequality to describe this scenario will be based on the number of each type of centerpiece she can make.

Let x represent the number of small centerpieces and y represent the number of large centerpieces. The inequality then takes the form:

2x + 4y ≤ 71

This means that twice the number of small centerpieces plus four times the number of large centerpieces must not exceed a total of 71 candles. In standard form, where terms are arranged with variables on one side and constants on the other, the inequality is rearranged as:

2x + 4y ≤ 71