Question

A mechanic charges $35

to perform an inspection on a car, and $55
per hour for a repair. Which equation gives the total cost, y
, for a repair that lasts x
hours?

Please explain and show your work

Here are the options!

35x−55=y
35x+55=y
55x−35=y
55x+35=y

Answer 1

The answer is 55x+35=y. So per hour, it is 55 dollars. So if they work on it, it would be 55 * 6 which would be 330, and then you add the inspection fee. So whether they work on the car or not, for no matter how long, it is going to be 55+35=y and then you get 55x+35=y for the amount of time.

Answer 2

D) 55x + 35 = y

Explanation:

Given: A mechanic charges $35 to perform an inspection on a car, and $55

per hour for a repair.

Here fixed cost = $35 and $55 per hour for a repair.

Total cost = 35 + 55 each hour spend on the repair.

Let's take x be repair hours that lasts and y be the total cost.

It is a linear equation, we have to form a linear equation using the given information.

Therefore, the equation is y = 55x + 35.

Here x represents repaired hours and y represents the total cost. $35 is a fixed cost.

So answer is D) 55x + 35 = y