An interior designer charges $100 to visit a site, plus $55 to design each room. Identify a function that represents the total amount he charges for designing a certain number of rooms. What is the value of the function for an input of 6, and what does it represent?
Set up the cost function C(r) where r is the number of room to design:
C(r) = Cost per room * r + Site Visit Fee
C(r) = 55r + 100
Now, the problem asks for an input of 6, which is the number of rooms. So we want C(6) which is the cost to design 6 rooms:
C(6) = 55(6) + 100
C(6) = 330 + 100
C(6) = 430
Set up the cost function C(r) where r is the number of room to design:
C(r) = Cost per room * r + Site Visit Fee
C(r) = 55r + 100
Now, the problem asks for an input of 6, which is the number of rooms. So we want C(6) which is the cost to design 6 rooms:
C(6) = 55(6) + 100
C(6) = 330 + 100
C(6) = 430