Formula c(x)

Question

The manager of a restaurant found that the cost to produce 200 cups of coffee is $20.55, while the cost to produce 400 cups is $39.75. Assume the cost C(x) is a linear function of x the number of cups produced.

a. Find the formula for C(x)=

b. What is the fixed cost?

c. 

Answer 1

20.55 = F + 200R

39.75 = F + 400R

 

39.75 - 20.55 = 400R - 200R

19.20 = 200R

R = .096

F = 1.35

 

C(x) = 1.35 + .096x

 

fixed cost = 1.35