Question

a nonprofit organization is preparing for its annual fundraiser. the quote to reserve a banquet hall for the evening is $6,750, and there is a $50 charge per person to cater dinner. write a linear function to represent the cost (y), of the banquet hall for x people. (1 point) the function of the total cost of the banquet hall is \boxed{}

Explanation:

Step1: Identify fixed and variable costs

The fixed cost (reserving banquet hall) is $6750. The variable cost is $50 per person, so for \( x \) people, variable cost is \( 50x \).

Step2: Form linear function

Total cost \( y \) is fixed cost plus variable cost. So \( y = 50x + 6750 \).

Answer:

\( y = 50x + 6750 \)