Question

A sports club plans to have its lawn mowed. The cost of mowing x square feet of lawn is given by the function f(x) = 0.04x + 3.5, where f(x) represents the cost in dollars. The total area that needs to be mowed is given by the function g(x) = 12x.

Which function best describes C(x), the total cost of mowing the lawn of the sports club?

A) C(x) = 0.48x + 3.5x
B) C(x) = 0.48x2 + 3.5
C) C(x) = 0.48x2 + 42x
D) C(x) = 0.48x2 + 42

Answer 1

D

This is the plato answer

Answer 2

To do this, you would substitute every instance of x in the equation f(x) with the value of the g(x) equation. So, it would be C(x)=0.04(12x)+3.5. First, multiply 0.04 by 12x, which would be 0.48x. Now, your equation is C(x)=0.48x2+3.5. This is answer choice B. Hope this helps!