Question

question 8
theodore recently hired a mechanic to do some necessary work. on the final bill, theodore was charged a
total of $413.5. $200 was listed for parts and the rest for labor. if the hourly rate for labor was $61, how
many hours of labor was needed to complete the job?
(a) first write an equation you can use to answer this question. use x as your variable and express any
percents in decimal form in the equation.
the equation is
(b) solve your equation in part (a) to find the number of labor hours needed to do the job.
answer: the number of labor hours was
question 9
5 pts 1 details
a rectangular room is 2 meters longer than it is wide, and its perimeter is 24 meters. find the dimension of
the room.

Explanation:

Step1: Set up the equation

Let \(x\) be the number of labor hours. The cost for parts is \(200\) dollars and the cost for labor is \(61x\) dollars. The total cost is \(413.5\) dollars. So the equation is \(200 + 61x=413.5\).

Step2: Solve the equation for \(x\)

Subtract \(200\) from both sides:
\(61x=413.5 - 200\)
\(61x = 213.5\)
Divide both sides by \(61\):
\(x=\frac{213.5}{61}\)
\(x = 3.5\)

Answer:

A. The equation is \(200+61x = 413.5\)
B. The number of labor hours was \(3.5\)