A tile backsplash is being installed. The installation fee is $150.00. The tile is priced at $2.75 per square foot, f. Which equation best represents the total cost, c, of the backsplash?

c=2.75f+150

Step-by-step explanation:

The total installation cost follows the general equation y=mx+c where m is the gradient and c is the y-intercept. Normally, the y-intercept is when x=0 hence at this point, before doing the work, the installation cost is fixed as $150. This becomes our y intercept. Considering that the cost of tiling depends on the area, then the larger tge area, the larger the cost and visa vis. Therefore, for f square foot, the cost of tiles will be 2.75f.

The equation of total cost can be represented by

c=2.75f+150

-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