(a).

A skee ball machine pays out tickets each time a person plays.

For every  points a player scores, the machine will pay out additional tickets.

A nonlinear function to model the amount of tickets received for an point score is written using greatest integer function is.

Since the skee ball machine pays out  tickets each time a person plays the function is written as

.

(b).

Inequality that could be used to find the score a player would need in order to receive at least  tickets :

Let .

Subustiute the value in the function .

(c).

The inequality can be solved to interpet the solution.

The solution set is .

So, any score at or above  points will result in the player receiving at least tickets.

(a).

The nonlinear function is .

(b).

The inequality is .

(c).

The solution set is .