case 1

1
00:00:00,000 --> 00:00:02,064
However much x changes

2
00:00:02,923 --> 00:00:04,908
how much should y change?

3
00:00:07,535 --> 00:00:09,074
that is how you have got to think
about this

4
00:00:09,074 --> 00:00:11,880
however much x changes I do not care
however much it is

5
00:00:11,880 --> 00:00:15,867
but if it is a constant rate of change,
in this case of negative 3.1

6
00:00:15,867 --> 00:00:17,769
how much should y change

7
00:00:17,769 --> 00:00:19,934
for each change in x?

8
00:00:27,530 --> 00:00:31,544
well we said in half the time
we would expect

9
00:00:31,544 --> 00:00:33,128
half the distance

10
00:00:33,128 --> 00:00:36,137
if i triple my time frame

11
00:00:36,137 --> 00:00:38,826
I would expect to triple my distance

12
00:00:38,826 --> 00:00:39,969
K?

13
00:00:39,969 --> 00:00:43,194
well however much I change my x value

14
00:00:43,194 --> 00:00:45,319
Whether it is by half or by

15
00:00:45,319 --> 00:00:46,847
triple three

16
00:00:46,847 --> 00:00:50,002
however much i change that x value
how would you expect

17
00:00:50,002 --> 00:00:51,909
your y value to change

18
00:00:51,909 --> 00:00:54,929
if the rate of change is negative 3.1

19
00:00:57,354 --> 00:00:59,341
[negative 3.1]

20
00:00:59,341 --> 00:01:01,786
yes negative 3.1 times as much

21
00:01:01,786 --> 00:01:03,276
exactly, exactly

22
00:01:03,276 --> 00:01:06,778
and I think that feels goofy perhaps
because it is a negative

23
00:01:06,778 --> 00:01:12,311
but get over that just means that my
function overall is increasing
or decreasing?

24
00:01:12,311 --> 00:01:13,566
decreasing [decreasing]

25
00:01:13,566 --> 00:01:18,025
But it is still the same case,
however much I change this function

26
00:01:18,025 --> 00:01:19,450
in the x

27
00:01:19,450 --> 00:01:21,984
y will change in this case

28
00:01:21,984 --> 00:01:25,099
negative 3.1 times as much

29
00:01:25,099 --> 00:01:27,064
you ok with that terminology?

30
00:01:27,064 --> 00:01:29,751
Thank you for getting that out there
Gromeck that is exactly what
I wanted to hear.