Question
Hayley is fixing up her home and must spend less than $5,400 to hire carpenters and painters. Carpenters charge $35 per hour and painters charge $18 per hour.
Write the inequality in standard form that describes this situation. Use the given numbers and the following variables.
x = the number of hours of carpentry
y = the number of hours of painting
Write the inequality in standard form that describes this situation. Use the given numbers and the following variables.
x = the number of hours of carpentry
y = the number of hours of painting
Answers
GPT-4o mini
To write the inequality that describes Hayley's situation, we start by considering the costs associated with hiring carpenters and painters based on the number of hours worked.
The cost for carpenters is $35 per hour, so for \( x \) hours of carpentry, the total cost will be \( 35x \).
The cost for painters is $18 per hour, so for \( y \) hours of painting, the total cost will be \( 18y \).
Since Hayley needs to keep her total spending less than $5,400, we can express this relationship with the following inequality:
\[
35x + 18y < 5400
\]
This inequality can be referred to as the standard form of the inequality that represents Hayley's budget constraint when hiring carpenters and painters.
The cost for carpenters is $35 per hour, so for \( x \) hours of carpentry, the total cost will be \( 35x \).
The cost for painters is $18 per hour, so for \( y \) hours of painting, the total cost will be \( 18y \).
Since Hayley needs to keep her total spending less than $5,400, we can express this relationship with the following inequality:
\[
35x + 18y < 5400
\]
This inequality can be referred to as the standard form of the inequality that represents Hayley's budget constraint when hiring carpenters and painters.