A mechanic charged $220.28 to repair a car. The price included charges for 3 hours of labor and $126.53 for parts.

How much does the mechanic charge per hour, d, for labor?

Solve for d.

Respuesta :

So, this is simple:
1. Make an equation. 3d+$126.53=$220.28, and we gotta find out d, hours of labor
2. Get rid of the 126.53 by subtracting it from both sides of the equation. 
3d +126.53-126.53=$220.28-126.53
3. Rewrite the equation: Now you have 3d=$93.75
4. Get rid of the 3 through division: 3d/3=$93.75/3
5. Rewrite the equation after you worked it out: You now have $31.25
6. Reword the problem as the solution: The mechanic charges $31.25 an hour for labor charges.
~Hope this helps!

The mechanic charges $31.25 per hour

A linear equation is given by:

y = mx + b;

where m is the rate of change, y, x are variables and b is the y intercept.

Since $220.28 is charged to repair a car. The price included charges for 3 hours of labor and $126.53 for parts. Let d represent the mechanic charge per hour, hence:

220.28 = 3d + 126.53

3d =93.75

d = $31.25 per hour

Hence the mechanic charges $31.25 per hour

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