Answer:
N, Y, N, Y, Y
Step-by-step explanation:
Given 5 scenarios, you want to know which of them involves a proportional relationship.
Proportional relation
A relation is proportional if the "output" is zero when the "input" is zero, and the rate of change is constant. The graph of a proportional relationship is a straight line through the origin.
Any relation involving a base cost or flat fee will not be a proportional relationship. The graph of such a relation may be a straight line, but it will not go through the origin.
Application
In the given scenarios, the cost of the pizza has an associated base cost. The cost of the bike rental has a flat fee. Neither of these relations are proportional relations.
The others all have a constant rate of change:
- $45 per month
- 60 miles per hour
- $12 per hour
These relationships are proportional.
