Understanding Labor Costs and Equations

The video tutorial explains how to solve a word problem involving a car repair bill. It breaks down the total cost into parts and labor, then uses reasoning skills to find the number of labor hours charged. The tutorial demonstrates how to set up and solve an equation to verify the solution, emphasizing the importance of reasoning and problem-solving skills.

What is the total bill amount for the mechanic's service?

• $680

• $365

• $315

• $45

How much is listed for parts in the mechanic's bill?

• $680

• $315

• $45

• $365

What is the first step in determining the total labor cost?

• Divide the total bill by the hourly rate

• Subtract the parts cost from the total bill

• Multiply the hourly rate by the number of hours

• Add the parts cost to the total bill

What is the total labor charge after subtracting the parts cost?

• $45

• $680

• $315

• $365

How do you calculate the number of labor hours charged?

• Multiply the total labor cost by the hourly rate

• Subtract the hourly rate from the total labor cost

• Divide the total labor cost by the hourly rate

• Add the hourly rate to the total labor cost

What is the hourly rate for labor in this problem?

• $315

• $45

• $365

• $680

What equation can be used to solve for the number of labor hours?

• 45 = 680 + 365x

• 365 = 680 + 45x

• 680 = 45 + 365x

• 680 = 365 + 45x

What is the value of x when solving the equation for labor hours?

• 5

• 6

• 8

• 7

What is the purpose of subtracting 365 from both sides of the equation?

• To calculate the parts cost

• To isolate the variable x

• To determine the hourly rate

• To find the total bill

Why is it important to use reasoning skills before writing an equation?

• To verify the total bill amount

• To simplify the problem-solving process

• To ensure the equation is correct

• To avoid making calculation errors