Question
Cindy is building a shelving unit to hold all of her shoes. A pair of work shoes takes up 2 square feet of space, and a pair of boots occupies 4 square feet. The total amount of shelving space taken up by all the shoes can be at most 46 square feet.
Select the inequality in standard form that describes this situation. Use the given numbers and the following variables.
x = the number of pairs of shoes
y = the number of pairs of boots
Select the inequality in standard form that describes this situation. Use the given numbers and the following variables.
x = the number of pairs of shoes
y = the number of pairs of boots
Answers
GPT-4o mini
To express the situation with an inequality, we need to consider the amount of space occupied by the pairs of shoes and boots.
1. Each pair of work shoes takes up 2 square feet. If we let \( x \) be the number of pairs of work shoes, then the space taken up by the work shoes is \( 2x \) square feet.
2. Each pair of boots takes up 4 square feet. If we let \( y \) be the number of pairs of boots, then the space taken up by the boots is \( 4y \) square feet.
The total space taken up must be at most 46 square feet, which we can express as the inequality:
\[ 2x + 4y \leq 46 \]
This is the inequality in standard form that represents the situation described.
1. Each pair of work shoes takes up 2 square feet. If we let \( x \) be the number of pairs of work shoes, then the space taken up by the work shoes is \( 2x \) square feet.
2. Each pair of boots takes up 4 square feet. If we let \( y \) be the number of pairs of boots, then the space taken up by the boots is \( 4y \) square feet.
The total space taken up must be at most 46 square feet, which we can express as the inequality:
\[ 2x + 4y \leq 46 \]
This is the inequality in standard form that represents the situation described.