Question

An auto mechanic charges $50 to diagnose a problem and $25 per hour to repair the problem. If x represents the total number of hours worked and y represents the total charges, which equation represents this situation?

y = 25x + 50
y = 50x + 25
y = 50x – 25
y = 25x – 50

Answer 1

Answer: y = 25x + 50

Explanation:

The primary charge is $50, meaning this fee is paid by all who wish to get their car diagnosed. This value represents the y-intercept.

Next, the hours are charged at $25/h, and we are using the variable x as a placeholder for hours in our equation. To get our hourly rate we must take the number of hours, x, and multiply that by the hourly fee charged ($25).

Y is the variable that represents the total profits of adding these two values.

Putting everything together will result in the equation: y = 25x + 50.