To find the number of people, n, attending the banquet based on the total cost C(n) = 4,295, we need additional information about the relationship between the number of people, n, and the cost, C(n). Specifically, we need the cost function that relates C(n) to n. A typical cost function for this scenario could be linear, such as:
C(n) = a * n + b
where:
- a is the cost per person
- b is the fixed cost (that does not change with the number of attendees)
Given this linear form, we can solve for n by re-arranging the equation to solve for n when C(n) is given. Unfortunately, without knowing the specific values of a and b, we cannot provide an exact number for n based only on the total cost.
To proceed, we would need additional information, often provided in the problem statement, such as the cost for each additional person or any fixed costs associated with hosting the banquet. If that information is not available, then it is not possible to calculate the precise value of n from the total cost alone. If you can provide that information or the exact form of the function C(n), I would be able to help you find the number of people attending the banquet.
