The cost to reserve a banquet hall is $500. The catering cost per guest is $17.50 for the first 40 guests and $14.75 for each ad

Question

2 years ago

8

ditional guest.
a. Write a piecewise function describing the cost C
of the reunion.
b. Use a graphing calculator to graph the function

1 answer:

Charra [1.4K] · Answer 1 · 2023-12-21T09:02:42+03:00

The piecewise function describing the cost C of the reunion are C(x) = 500 + 17.5x, where x <= 40 and C(x) = 1200 + 14.75(x - 40), where x > 40

<h3>Write a piecewise function describing the cost C of the reunion.</h3>

The given parameters are:

Reserve = $500

Cost per guest = $17.50 for the first 40 guests

Cost per guest = $14.75 for each additional guest

The above means that

C(x) = 500 + 17.5x, where x <= 40

C(x) = 500 + 17.5 * 40 + 14.75(x - 40), where x > 40

Next, we evaluate the functions

This gives

C(x) = 500 + 17.5x, where x <= 40

C(x) = 1200 + 14.75(x - 40), where x > 40

<h3>Use a graphing calculator to graph the function</h3>

To do this, we simply plot each function with its domain

See attachment for the graph of the piecewise functions

Read more about piecewise functions at

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