Question

Felix is assembling centerpieces that use candles. A small centerpiece uses 1 candle and a

large centerpiece uses 4 candles. Felix is limited to using 40 candles, the number on hand.
Select the inequality in standard form that describes this situation. Use the given numbers.
and the following variables.
x = the number of small centerpieces
y = the number of large centerpieces

Answer 1

The inequality that describes Felix's situation is x + 4y ≤ 40, where x represents the number of small centerpieces and y represents the number of large centerpieces.

Step-by-step explanation:

To represent the situation of Felix assembling centerpieces using candles, we can set up the following inequality:

x + 4y ≤ 40

This inequality states that the sum of the number of small centerpieces (x) and four times the number of large centerpieces (4y) must be less than or equal to 40, which represents the limit of 40 candles available.

For example, if Felix makes 3 small centerpieces and 5 large centerpieces, the inequality becomes:

3 + 4(5) ≤ 40

Simplifying, we get:

23 ≤ 40

This inequality is true, meaning Felix can assemble 3 small centerpieces and 5 large centerpieces using the available 40 candles.