Final answer:
The equation representing the proportional relationship between hours worked and deliveries made is y = 5x, with x being the number of hours and y being the number of deliveries.
Step-by-step explanation:
The table provided shows a proportional relationship between the number of hours Otto works (x) and the number of deliveries he makes (y). To write an equation that represents this situation, we need to find the constant of proportionality, which is the ratio of deliveries made per hour worked. To find this, we can take any of the given points from the table. For instance, using the first point, we see that Otto makes 15 deliveries in 3 hours, which means he makes 15/3 = 5 deliveries per hour. Thus, the constant of proportionality is, in essence, the slope of the linear equation. The equation that represents the situation is therefore y = 5x, where x represents the number of hours, and y denotes the number of deliveries.