11. A roofer calculates his bid price using the formula P = 1.85s + 4.2f, where s is the area of the roof in square feet and f is the length of the fascia in feet. Find the area of the roof with 190 feet of fascia and a price of $4,148. Round to the nearest square foot

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Mathematics

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20 September, 08:04

11. A roofer calculates his bid price using the formula P = 1.85s + 4.2f, where s is the area of the roof in square feet and f is the length of the fascia in feet. Find the area of the roof with 190 feet of fascia and a price of $4,148. Round to the nearest square foot

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Answers (2)

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Andres Carson · Answer 1

Andres Carson 20 September, 11:35

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The answer is 1,810 sq ft!

Karter Dyer · Answer 2

Replace f with 190, replace P with 4148 and solve for s:

4148 = 1.85s + 4.2 (190)

Simplify:

4148 = 1.85 + 798

Subtract 798 from both sides:

3350 = 1.85s

Divide both sides by 1.85:

s = 1,810.81

Rounded to nearest square foot = 1811 square feet.