A car repair company charges a $15 fee for evaluation plus a rate for any services required. What is the slope of the table, and what does the slope represent?

Hours 0 2 4 6
charges 15 165 315 465

The slope of the table is $75 and the slope represents the rate of change of charges for repairing the car per hour.

Explanation:

Given that the car repair company charges a $15 fee for evaluation plus a rate for any services required.

We need to determine the slope.

The slope can be determined using the formula,

From the table, we shall consider the coordinates (0,15) and (2,165)

Let us substitute these two points in the formula, we get,

Simplifying the terms, we have,

Dividing the terms, we get,

Thus, the slope of the table is

The slope represents the rate of change of charges for repairing the car per hour.

75, hourly rate

Step-by-step explanation:

Slope: (165-15)/(2-0)

= 150/2

= 75

Slope is $75/hour

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3