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

Sagot :

MrRoyal

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

Write a piecewise function describing the cost C of the reunion.

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

Use a graphing calculator to graph the function

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

https://brainly.com/question/18499561

#SPJ1

View image MrRoyal
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