Question

Al begins collecting model cars. He buys a new model cars eveeryweek, is the number of model cars he owns proportional to the number of weeks that have passed since he started his collocuon? Explain your answer.

Answer 1

Assuming that Al had no model cars before he started to buy a new one each week, then, after N weeks, Al will own N cars.

If we divide the number of cars by the number of weeks, it will always equal a constant of proportionality of 1, since:

`\begin{gathered} \frac{\text{cars}}{\text{weeks}}=(N)/(N) \\ =1 \end{gathered}`

Therefore, the number of model cars he owns is proportional to the number of weeks that have passed since he started his collection.