### Home > INT2 > Chapter 9 > Lesson 9.4.1 > Problem 9-142

Jill has a business organizing children’s birthday parties. For a party with up to six children, she charges

Write a piecewise-defined function

to represent the money Jill receives for organizing a birthday party forchildren. Be sure to include any restrictions on the domain. Check your function using several different numbers of children.For

to children the cost is a constant function. Use this pattern to write a rule for seven or more children.

children: children: children:

The party favors and treats cost

per child. Write a function to represent the expenses for a party forchildren.What is Jill’s net income,

, from a party forchildren in terms ofand? That is, how much money will she have after she pays for the party favors and treats?Write an expression that subtracts her expenses from her income.

Write a piecewise-defined function for

including restrictions on the domain, and check it by testing values for different numbers of children.Combine the answers from parts (a) − (c) into a piecewise function.