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 for children. Be sure to include any restrictions on the domain. Check your function using several different numbers of children.
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 for children.
What is Jill’s net income,
, from a party for children in terms of and ? 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.