A landscaping company charges a $12 fee to make a house call plus an hourly rate for labor. if the total bill for a job that takes 2.5 hours comes to $95.75, write an equation that can be used to solve for the hourly labor rate use r to represent the rate.

Both companies need to work 12.50 hours to make the same charge.

Step-by-step explanation:

First step is to write equations for each company based on how each company charges.

Let x = hours

Let y = charge

1st Company

y = 15x + 100

2nd Company

y = 17x + 75

Since we want to know the hours needed for the companies to make the same charge, we set the charges equal to zero and solve for x.

15x + 100 = 17x + 75

Subtract 15x on both sides of equation.

100 = 2x + 75

Subtract 75 on both sides of equation.

25 = 2x

Divide both sides of equation by 2.

12.5 = x

Both companies need to work 12.50 hours to make the same charge.

answer: a.

step-by-step explanation: the answer is a. because, you need to converge the fractions to find a solution.