Question

A restaurant charges $100 to rent its banquet room for an event. It also charges $15 to serve dinner to each quest. Write an equation for the total cost of the banquet room in terms of the number of guests. Define your variables. What is the total cost of the banquet room for 20 guests?

Answer 1

total cost (t) , number of guests (n)

t = 15n + 100 <== ur equation

for 20 guests...n = 20
t = 15(20) + 100
t = 300 + 100
t = 400 <== cost for 20 guests

Answer 2

The total cost function is C (x) = 15x + 100 and the cost of a banquet for 20 guests is $ 400

Explanation:

Let's suppose,

X: Number of guests

C (x) = total cost

CF (x) = fixed cost

CV (x) = variable cost

C (x) = CV (x) + CF (x)

For the situation presented,

CF (x) = 100

CV (x) = 15x

With this information, the function that provides the total cost is given by the expression:

C (x) = 15x + 100.

When there are 20 guests, the total cost of the banquet is:

C (20) = 15 (20) + 100 = 300 + 100 = 400

Conclusion: The total cost function is C (x) = 15x + 100 and the cost of a banquet for 20 guests is $ 400