If I am going to buy $c$ number of cats and they each cost \$100, and the total is $t$
My equation would look like:
$100c = t$
Here, my dependent variable is $t$ and my independent variable is $c$
Or so I thought, I can rearrange this to get:
$t/100 = c$
In this case is $t$ the dependent? If I have the price $t$ and the output is how many cats I will buy $c$. Although, this is strange, hypothetically some old cat lady could have saved up a certain amount of money and just wants to buy as many cats as possible.
So, if this is the case, what should someone answer in a test? If they are loose like how I have just proved, then how could a student differentiate?