Question

A movie theater has a special promotion movie pass. Passholders will pay $8 per movie for the first 5 movies they go to see. After the first five movies they don't have to pay for any additional movies up to a maximum of 16 movies.1) Sketch a graph of the scenario showing the total cost a passholder will pay for seeing different number of movies.

Answer 1

Before we draw the graph, let's calculate the cost at different amount of movies watched.

1 Movie = 8

2 Movie = 2 * 8 = 16

3 Movie = 3 * 8 = 24

4 Movie = 4 * 8 = 32

5 Movie = 5 * 8 = 40

6 movie = total 40 (no additional charge)

7 movie = total 40 (no additional charge)

.

.

.

16 movie = total 40 (no additional charge)

Thus,

From 0 - 5 movies the graph will be linear with 8 units increase (dollars) PER movie

Then from 5 movie onwards to 16 movies the cost will be same ($40), so that would be a horizontal line at y = 40 [from x = 5 to x = 16]

The graph can look something like this: