To model the situation described, let's denote [tex]\( x \)[/tex] as the number of \[tex]$1 increases in the cost of the buffet.
### Part A
Expression for the cost per customer:
Initially, the cost of the buffet is \$[/tex]10. For each \[tex]$1 increase, represented by \( x \), the cost increases by \$[/tex]1.
So, the cost per customer after [tex]\( x \)[/tex] increases is:
[tex]\[ \text{Cost} = 10 + x \][/tex]
Expression for the average number of customers:
Initially, the average number of customers is 16. For every \$1 increase, represented by [tex]\( x \)[/tex], the number of customers decreases by 2.
So, the average number of customers after [tex]\( x \)[/tex] increases is:
[tex]\[ \text{Customers} = 16 - 2x \][/tex]
Thus, we have the following expressions:
[tex]\[
\boxed{10 + x}
\][/tex]
[tex]\[
\boxed{16 - 2x}
\][/tex]
