Problema Solution

The cost c of water is a linear function of n, the number of gallons used. If 1,000 gallons cost $4.70 and 9,000 gallons cost $14.30, express c as a function of n.

Answer provided by our tutors

C = a*n + b


4.7 = a*1000 + b


14.3 = a*9000 + b


Subtracting the first equation from second, we get


9.6 = a*8000


a = 0.0012, using this in Eq. 1 we get


b = 3.5


C = 0.0012*n + 3.5