A carpenter charges $45 for every 50 feet of fence he builds plus a travel charge of $37.50. If the equation, C = 4550F + 37.5 , can be used to determine the total cost, C, of building F feet of fence, how many feet of fence can be built for a cost of $352.50?

Step-by-step explanation:

Given the total cost of the building expressed as;

C = 4550F + 37.5

C is the total cost

F is the length of the fence

Given

C = $352.50

Required

The length of the fence F

Substitute into the formula;

C = 4550F + 37.5

$352.50 =  4550F + 37.5

4550F = 352.50 - 36.5

4550F =  316

F = 316/4550

F = 0.0695 feet

hence 0.0695 feet of fence will cost $352.50