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"A landscape company is planting grass seed on a new lawn. A 20 lb bag of seed costs $49.98 and will cover 420 square feet. What is the Area of the entire lot? What is the total area that will not need to be seeded? How many square feet of lawn will need to be seeded? How many bags of seed will you need and what will be the total cost?"

User ChrisOdney
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1 Answer

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Final answer:

The questions about the rate at which grass is mowed are solved using the given equation ŷ = 1350 - 1.2x, leading to 1326 acres left after 20 hours, 1230 acres left after 100 hours, and 1125 hours needed to mow all lawns.

Step-by-step explanation:

The question appears to be missing vital information regarding the size of the lot that needs to be seeded. Assuming the question intends to ask about the function related to mowing a large property, we can answer the questions related to the mowing rates given by the equation ŷ = 1350 - 1.2x, where x represents the number of hours.

How many acres are left to mow after 20 hours of work?

Substitute x = 20 into the equation to get ŷ = 1350 - 1.2(20). Simplify this to find ŷ = 1350 - 24, which results in ŷ = 1326 acres remaining.

How many acres are left to mow after 100 hours of work?

Substitute x = 100 into the equation to get ŷ = 1350 - 1.2(100). Simplify this to find ŷ = 1350 - 120, which results in ŷ = 1230 acres remaining.

How many hours does it take to mow all the lawns, or when is ŷ = 0?

Set the equation to 0 and solve for x: 0 = 1350 - 1.2x. Solving for x gives x = 1350 / 1.2, which results in x = 1125 hours needed to mow all the lawns.

User Blackpen
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