Question

Please help with questions 1-4.

Answer 1

Observe the quantities, ie. see what happens if you increase one or decrease the other.

To simplify imagination, expose one quantity. I will expose y.

1.

`-(y)/(4)=2x\implies y=-8x`

So what is their variation or proportion? If I increase x then y is getting more and more negative. So is this direct or inverse or nothing? It is direct.

2.

`14x=(14)/(y)\implies y=x, y\\eq0` again if I increase x then y will match, will also increase. This is again direct.

3.

`y=(13)/(x), x\\eq0` this time if I increase x, y will get smaller. When x is exactly 13, y will be 1 and when x is 10000, y will be 0.0013. This is inverse. One quantity gets really small when other quantity gets really big.

4.

`y=x-2` if I increase x then y will also increase even though by slightly less (-2) it will still increase. However since there is no multiplication this is not a direct variation nor is it inverse. It is nothing/no-variation.

Hope this helps :)