To write a function for this situation, we will express each piece of given information algebraically. From there we combine the parts to form the function.
|Verbal Expression||Algebraic Expression|
|Value of tickets already sold|
|Price per ticket|
|Increase in income after selling tickets|
|Income after selling tickets|
Thus, a function describing the situation can be written as
We are told that Patricia has tickets left. Therefore, a reasonable domain would be integers from to Let's determine the range using a table of values.
|Number of Tickets||Calculation||Income|
Thus, we can write the domain and range as the following.