Two cars got an oil change at the same auto shop. the shop charges customers for each quart of oil plus a flat fee for labor. the oil change for one car required 5 quarts of oil and cost $25.50. the oil change for the other car required 7 quarts of oil and cost $30.00. how much is the labor fee and how much is each quart of oil?

The labor fee is $14.25, each quart of oil costs $2.25.

Step-by-step explanation:

Let $x be thee price of each quart of oil and $y be a flat fee for labor.

1. If the oil change for one car required 5 quarts of oil, then these 5 quarts cost $5x and together with a flat fee for labor it cost $25.50. Thus,

5x+y=25.50.

2. If the oil change for another car required 7 quarts of oil, then these 7 quarts cost $7x and together with a flat fee for labor it cost $30.00. Thus,

7x+y=30.00.

3. Subtract from the second equation the first one, then

Substitute it into the first equation:

The labor fee is $14.25, each quart of oil costs $2.25.

answer: a) (0,0), (1,1), (2,8), and (3,27).

step-by-step explanation:

0^3=0

1^3=1

2^3=8

3^3=27

in effect, the exponential equation for this would me y=3^x. each x-coordinate cubed is giving the y coordinate, so a is your answer : )