Integrated Math 1

Question

The total cost C(in dollars) to rent a 14-foot by 20-foot canopy for d days is given by the function C(d) = 15d + 30, where the setup fee is $30 and the charge per day is $15. The setup fee increases by 20. The new total cost T is given by the function T(d) = C(d) + 20. Describe the transformation from the graph of C to the graph of T.

I am thinking the graph shifted 20 units up, but I am skeptical of that idea.

Answer 1

If the set-up fee, $30, is increased by $20, the new set-up fee is $50

The function is

C(d) = 15d + 50.

The graph is shifted 20 units up.