Final answer:
To determine the time it took to repair Sarah's car, we use the equation 70x + 130 = 410, where x represents the number of labor hours. Solving for x, we find that it took 4 hours to complete the repairs.
Step-by-step explanation:
To solve the question about Sarah's car repairs, we first need to set up an equation that models the situation. The total cost of the repairs is composed of labor and parts. According to the information given, the cost of repairs (total bill) is $410, Honest Harry charges $70 per hour for labor, and there is an additional $130 charged for parts.
Let's denote the number of hours Harry worked on the car as x. The question can be then represented by the following linear equation:
Equation:
y = 70x + 130
Where:
- y is the total cost of repairs
- x is the number of hours of labor required for the repairs
To find the number of hours (x), we will use the total bill which is $410 and solve for x:
410 = 70x + 130
Subtracting $130 from both sides of the equation for parts, we get:
280 = 70x
Dividing both sides of the equation by 70 will give us the number of hours Honest Harry worked on the car:
x = 280 / 70
x = 4
Answer:
It took Honest Harry 4 hours to fix Sarah's car.