Question

Emma hired a contractor to install a new brick patio in her backyard. The original quote was $832, but as the contractor was installing the patio, Emma realized she wanted it to be wider. The cost of expanding the patio is $13 per square foot. You can use a function to describe the total cost of the patio if she decides to expand it by x square feet.
Write an equation for the function. If it is linear, write it in the form f(x)=mx+b. If it is exponential, write it in the form f(x)=a(b)x.

Answer 1

Linear. Let x = additional square feet. Then
f(x) = 13x + 832,
with x ≥ 0 (dollars).