Answered

Write two expressions for this situation, one representing the cost per customer and the other representing the average number of customers. Assume that [tex]$x$[/tex] represents the number of [tex][tex]$\$[/tex] 1$[/tex] increases in the cost of the buffet.

Enter the correct answer in the box. Type the cost expression on the first line and the customer expression on the second line.

Cost:

Customers:



Answer :

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]