Question

The table shows the price of tickets to an amusement park based on the number of people in the group. Determine whether the function that models the price of tickets is discrete, continuous, or neither discrete nor continuous. Then state the domain and range of the function.



Group size Price
up to 15 people $45
16−50 people $38
51−100 people $30
101 or more people $26

Answer 1

The function is discrete. Group size must be a whole number of people, so the input values are integers (not a continuous interval).

Domain: {n ∈ Z : n ≥ 1} (1,2,3,… — i.e. any positive integer group size; the table’s ranges cover all n ≥ 1).
Range: {45, 38, 30, 26} (the four possible ticket prices).