Question

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?

Answer 1

c=2.75f+150

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