Hi,

I hope someone can help. I'm trying to answer the following question:

So to summarize the question, I'm suppose to develop a function which expresses this discount cost in terms of the number of people attending.

According to the textbook, this function would be:

The issue is, is that I don't fully understand how this function matches what we're looking for in this question. I say this because it appears that this solution above expresses the banquet cost which incorporates the discount cost, rather than what the question is asking for, which is to exclusively find the discount cost for the number of people attending. I thought that the right way to represent the discount cost for the number of people attending would be, D(p) = 31.96p, since this function just considers the discount in terms of the number of people. Can someone please explain to me whether or not my thinking is wrong about this?