Answer:
[tex]C(m)=0.9m^2+0.25[/tex]
Step-by-step explanation:
The surface area of a cube-shaped box with a side of m feet is given by the function:
[tex]S(m)=6m^2[/tex]
The cost, C, in dollars, of wrapping a box with a surface area of x square feet is given by the function:
[tex]C ( x ) = 0.15 x + 0.25[/tex]
We want to find an explicit expression that models the costs of wrapping a cube-shaped box with a side length of m feet.
In the cost function, C(x), x is the surface area, therefore:
[tex]S(m)=x;$ and$\\C ( S(m) ) = 0.15(6m^2) + 0.25\\C(m)=0.9m^2+0.25[/tex]
To find the cost of wrapping a cube of side length m feet, we use the explicit function:
[tex]C(m)=0.9m^2+0.25[/tex]