Question
Reggie is building birdhouses in shop class, and he has a total of 339 nails on hand. A small birdhouse requires 26 nails and a large birdhouse requires 46 nails. Select the inequality in standard form that describes this situation. Use the given numbers and the following variables. x = the number of small birdhouses y = the number of large birdhouses
Answers
GPT-4o mini
To formulate an inequality that describes the situation, we need to first understand how the nails are used based on the number of birdhouses built.
Let:
- \( x \) = the number of small birdhouses
- \( y \) = the number of large birdhouses
Each small birdhouse requires 26 nails, so the total number of nails required for \( x \) small birdhouses is \( 26x \).
Each large birdhouse requires 46 nails, so the total number of nails required for \( y \) large birdhouses is \( 46y \).
Reggie has a total of 339 nails. Therefore, the total number of nails used must be less than or equal to 339. This can be represented by the inequality:
\[ 26x + 46y \leq 339 \]
This is the standard form of the inequality that describes the situation.
Let:
- \( x \) = the number of small birdhouses
- \( y \) = the number of large birdhouses
Each small birdhouse requires 26 nails, so the total number of nails required for \( x \) small birdhouses is \( 26x \).
Each large birdhouse requires 46 nails, so the total number of nails required for \( y \) large birdhouses is \( 46y \).
Reggie has a total of 339 nails. Therefore, the total number of nails used must be less than or equal to 339. This can be represented by the inequality:
\[ 26x + 46y \leq 339 \]
This is the standard form of the inequality that describes the situation.