To find the expressions for this situation, we consider the details provided.
- [tex]\(x\)[/tex] represents the number of \[tex]$1 increases in the cost of the buffet.
Given these:
1. Cost per Customer Expression: This is the total cost per customer when the price increases by $[/tex]x[tex]$ dollars from the base price \(B\):
\[ \text{Cost} = B + x \]
2. Average Number of Customers Expression: This represents the average number of customers when the price increases by $[/tex]x$ dollars from the base number of customers [tex]\(C\)[/tex]. The number of customers decreases by [tex]\(D\)[/tex] for each dollar increase in price:
[tex]\[ \text{Customers} = C - Dx \][/tex]
So, the final expressions are:
[tex]\( \text{Cost} = B + x \)[/tex]
[tex]\( \text{Customers} = C - D x \)[/tex]