The cost per unit of the auto shop function is the slope of the function
87 represents the slope and the cost per tire purchased
The function is given as:

A linear function is represented as:

Where:
m represents the slope or the unit rate.
So, by comparison:

This means that 87 represents the slope and the cost per tire purchased
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Set up the following equations:


x represents car A's speed, and y represents car B's speed.
We'll use elimination to solve this system of equations. Multiply the first equation by 7:


Combine both equations:

Divide both sides by 28 to get x by itself:

The speed of car A is
80 mph.Since we now know the value of one of the variables, we can plug it into the first equation:


Subtract 160 from both sides.

Divide both sides by 2 to get y by itself:

The speed of car B is
60 mph.
35 because you can not multiply both numbers by the same number to get a smaller Greatest common multiple
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