Tell whether the two quantities vary directly. Explain your reasoning. The cafeteria provides three meals per day.

The cafeteria provides three meals per day.

Reason 1

Yes, they vary directly

As number of days increases, Total number of meals i. e

1st day ⇒ 3

2nd day⇒6

3 rd day⇒9

4th day⇒12

...

...

increases.

Total number of Meals = k*Number of days

But there is another possibility also

Reason 2

1 st day ⇒ 3

2nd day ⇒3

3rd day⇒ 3

...

...

As you can see from the above expression On each day number of meals is

constant.

So we can say that,

On each Day=Constant amount of meal=3

So, there is no Proportionality between Days and Meal.