Question

your car broke down and the final bill was $306.50. The part that was replaced cost $119 and the charge mechanics labor was 75 per hour. Write an equation to model this situation then solve the equation for the number of hours the mechanic worked on your car.

Answer 1

`\huge\boxed\text{Equation:}`
`\huge\boxed{\text{Equation: }119+75x=306.50}\\`

`\huge\boxed{\text{Hours worked on: } 2.5}`

Explanation:

We can create an equation for this problem by converting the words to an equation.

The flat fee was $119. We then add $75 for every hour worked. This means that this becomes
`119+75x`. Since the total cost was $306.50, the equation is
`119+75x=306.50`.

We can now solve for x, the amount of hours worked, to find it’s value.

`119 + 75x = 306.5\\\\75x=187.5\\\\x = 2.5`

Hope this helped!