SOLUTION: Manager has found that the cost to produce 100 cups of coffee is 11.02 and the cost to produce 400 cups of coffee is 40.12. Assume the C(x) is a linear function of x, find a formul

Question 254800: Manager has found that the cost to produce 100 cups of coffee is 11.02 and the cost to produce 400 cups of coffee is 40.12. Assume the C(x) is a linear function of x, find a formula for C(x).
Answer by vksarvepalli(154) (Show Source): You can put this solution on YOUR website!
let C(x) is the cost to produce x cups of coffee and is given by
C(x)=ax+b where a and b are constants (given C(x) is a linear function of x)
now given x=100 and C(x)=11.02 => 11.02=100a+b ------1
and x=400 and C(x)=40.12 => 40.12=400a+b -------2
subtract eq 1 from eq 2
we get 29.1=300a
so a=0.097
put this value of a in eq 1
we get 11.02=9.7+b
so b=1.32
so the function is C(x)=0.097x+1.32
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