<span>Luis has 5 cans of soda. He will buy more cans of soda from the store. The store has 12 cases in stock and each case contains 24 cans of soda. The store will not sell partial cases. The function that models the number of cans Luis will have after his purchase is f(c) = 24c + 5.
What is the practical domain and range of the function?
5 is the initial number of cans Luis has on hand. To this 5 we add 24 times c, where c represents the # of cases (not cans). Thus, if he buys 1 case, he will have 5+24(1), or 29, cans on hand.
c represents the number of cases he buys. He cannot buy a neg. number of cases, altho he could theoretically buy 0 cases by not going to the store.
Thus, the domain is {integers only, ranging from 1 to infinity}
The smallest number of cans this guy would have is 5, so the range is
