Question

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.

Answer 1

Answer:

$y=41,8 . x + 12$

Step-by-step explanation:

This problem is solved using the linear function formula:

$y=a.x+b$

Where:

y= total bill

x= number of hours worked

b=fee

We have to find "a" in order to have the complete equation. We know that the constant fee (b) is 12$, and that if the hours worked are of 2.5 the total bill is $95.75, so we supplant on the equation and isolate "a".

$95.75=a. 2,5 + 12$

$95.75-12=a. 2,5$

$95.75-12=a. 2,5$

$83.75=a. 2,5$

$83.75 : 2=a$

$83.75 : 2=a$

$41,8=a$

So now we have the complete equation:

$y=41,8 . x + 12$