Write a quadratic function that represents the cost of installing artificial turf on a square plot with a side length of x ft, and a second quadratic function the cost of installing sod on the plot.

Question

Artificial turf costs $15/sq ft to install, and sod costs $0.15/sq ft to install.

Please explain everything

Answer 1

The area of the square plot is x times x or x² sq ft.

The cost for the turf would be $15x² and the cost for the sod would be $0.15x².

Answer 2

C(x) = 15.15x^2

t(x) = 15x^2 for turf cost

s(x) = .15x^2 for sod cost

C(x) = t(x)+s(x) = 15x^2 + .15x^2 = (15+.15)x^2 = 15.15x^2