Question

Describe two real-world quantities that have a proportional linear relationship. Explain how you could change the situation to make the relationship nonproportional.

Answer 1

Proportional: Mike, a plumber charges $5 per hour for his service.

Non-proportional: Mike charges a initial cost of $10 plus $3 for each hours of service.

Explanation:

Let us assume that Mike, a plumber charges $5 per hour for his service.

So, the number of hours (h) of service and the total charge (C) are proportional, which is

C(h) = 5h ....... (1)

If the condition changes like, Mike charges an initial cost of $10 plus $3 for each hour of service.

Here, the equation that models the situation is

C(h) = 10 + 3h .......... (2)

Now, relation (1) is non-proportional. (Answer)