Question

Bill is remodeling his house and intends to put a ceiling fan in each room of the house. Ceiling fans are on sale this week for $49, including tax. He has $300 to spend. If the function f(c) = 49c models the situation, what is the domain of the function in the context of the problem?

Answer 1

well you have to find out how many he can buy maximum. Then it would be from 1 to whatever number that is.

To find the maximum you divide 300 by 49 which equals a little over 6
so because you can but a little of a ceiling fan you can only buy 6 fans.

So in context to the problem your domain would be {c|1<x<6}

Does that make sense? If not, feel free to ask me in comments :)