Question

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

Answer 1

s = 1,811 square foot

Explanation:

Here, we want to calculate the area of the roof.

The best way to proceed here is by substitution.

We simply substitute the length and the price into the bid price equation to get the area of the roof.

From the original equation, the formula to use is ;

P = 1.85s + 4.2f

now from what we are given; s = ?

f = 190 feet and P = $4148

substituting these values, we have;

4148 = 1.85s + 4.2(190)

4148 = 1.85s + 798

1.85s = 4148 -798

1.85s = 3350

s = 3350/1.85

s = 1,810.810810810811

To the nearest square foot, s = 1,811