The cost for the children’s party at the rollerskating rink is a function of N, the number of people in the party. The cost function, C, can be represented with a set of rules displayed in the picture. How much does it cost to have a party with 9 people? What about 20 people?

it will cost #150 to have a party with 9 people, and it will cost #260 to have a party with 20 people

A piecewise function is used to relate multiple functions at different intervals

This means that:

When n = 9, the cost function is:

Hence, it will cost #150 to have a party with 9 people

This means that:

When n = 20, the cost function is:

Hence, it will cost #260 to have a party with 20 people

Read more about piecewise functions at:

link

Given:

The cost for the children’s party at the rollerskating rink is a function of n, the number of people in the party. The cost function, C is given by

We need to determine the cost to have a party with 9 people and the cost to have a party with 20 people.

Cost of having the party:

From the given function, the cost of having the party for 9 people lies in the interval

Hence, the cost of having the party for 9 people is 150.

Also, from the function, the cost of having the party for 20 people lies in the interval

Hence, the cost of having the party for 20 people is 260.