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Lee washes the outsides of houses. It takes him 40 minutes to power wash a one-story home, and he uses 180 gallons of water. Power washing a two-story home takes 90 minutes and uses 300 gallons of water. Lee works no more than 40 hours each week, and he uses a maximum of 5,000 gallons of water per week. He charges $90 to wash a one-story home and $150 to wash a two-story home. Lee wants to maximize his weekly washing income washing houses. Let x represent the number of one-story houses and y represent the number of two-story houses.

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Answer:

D. [tex]\frac{2}{3} x+\frac{3}{2}y\leq 40\\180x+300y\leq 5,000\\x\geq 0\\y\geq 0[/tex]

Step-by-step explanation:

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The solution to the above inequality is attached in the diagram below.

What is an Equation?

An equation is an expression that shows the relationship between two or more variables and numbers

Let x represent the number of one-story houses and y represent the number of two-story houses. Hence:

40x + 90y ≤ 40(60)   (1)

Also:

180x + 300y ≤ 5000   (2)

From both equations,

The solution to the above inequality is attached in the diagram below.

Find out more on equation at: https://brainly.com/question/2972832

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