00:01
Three variables here.
00:01
What variables do i have? well, like z is directly proportional to the square of x.
00:06
So this means x squared, not the square root.
00:09
Directly proportional, what does that mean? well, z increases, x squared will increase.
00:14
Or as z decreases, x squared will decrease.
00:17
So if these were equal to a constant k, which is just a fixed number, would they either be multiplied or divided to equal that constant? well, they would have to be divided.
00:28
It, right? think about equivalent fractions as numerator increases, the denominator also has to increase to equal the same fraction.
00:36
But it's inversely proportional to the fourth power of y.
00:39
That's my third term.
00:42
Why to the fourth? so as z increases, y to the fourth will decrease, but as z decreases, this will increase.
00:49
This will have to be multiplied by z.
00:53
Because when i multiply, as one increases, the other has to decrease to equal same constant.
00:59
So, i could have this equal to k is one way to express this.
01:04
Another way, if i already get z by x squared to both sides, this will be approximately x squared times k, z times y the fourth, and then divide by y of the fourth to both sides...