Which one is the cheapest?

Question

The total area of the pool is 9000 + 4500

The floor and the walls of the swimming pool need to be covered with tiles. Decide which of the following companies would be the cheapest:
“Everlasting Tiles” charges $5 per square feet of tiles plus the shipping $1,500
“Colorful Tiles” charges $7 per square feet of tiles with free shipping.

Answer 1

Hi Karia,

The cost for ordering through Everlasting Tiles can be represented by 

y = 5x + 1,500 where x is the number of square feet and the cost for Colorful Tiles can be represented by y = 7x.If we set the two functions equal to each other and solve for x, we find that x = 750.Since Everlasting Tiles has a y-intercept of 1500 and Colorful Tiles has a y-intercept of zero, Everlasting Tiles is more expensive for the first 750 square feet and then cheaper for orders more than 750 square feet.

Answer 2

With the total area of 9000+4500=13500 ft^2 given, we can answer the question.

 

Cost of Everlasting Tiles:

 

C = ($5)*13500 + $1500 = $69,000

 

Cost of Colorful Tiles:

 

C = ($7)*13500 + 0 = $94,500

 

Everlasting Tiles is cheaper for this particular project.