Pure alcohol is being added to 100 gallons of the coolant mixture which is 30% alcohol.
(a) Determine rule of concentration function c(x) which expresses percentage of alcohol in resulting mixture as the function of number x of gallons of pure alcohol which are added. How many gallons are in final mixture?
(b) How much alcohol is in final mixture?
(c) c(x)= ?
(d) How many gallons of pure alcohol must be added to make the mixture which is at least 60% alcohol and no more than 80% alcohol?
(e) Find algebraically the exact amount of pure alcohol which should be added to make the mixture which is 70% alcohol.