case 1

1
00:00:00,000 --> 00:00:01,843
A negative rate of change

2
00:00:01,843 --> 00:00:04,206
[yea like] is that possible?

3
00:00:04,206 --> 00:00:06,317
can you have negative
rates of change? [no]

4
00:00:06,317 --> 00:00:07,740
[well yea]

5
00:00:07,740 --> 00:00:09,605
What would it mean to have a
negative rate of change?

6
00:00:09,605 --> 00:00:12,230
[Uh

7
00:00:12,230 --> 00:00:15,321
I do not know you are going
down or something]

8
00:00:15,321 --> 00:00:20,678
Yea your y's are changing in respect
to x is that possible [yea] absolutely.

9
00:00:20,678 --> 00:00:26,551
So that is fine [when you get negative 6
over negative four you turned into 6 over 4].

10
00:00:26,551 --> 00:00:30,826
That is purely because it is because I
had a negative change in y and a
negative change in x.

11
00:00:30,826 --> 00:00:33,189
[Ok so if it is both then

12
00:00:33,189 --> 00:00:35,121
you can do that] Right see watch

13
00:00:36,822 --> 00:00:41,648
If you go from this point to this
point it is a decrease in the y's

14
00:00:41,648 --> 00:00:43,976
so negative and it is a

15
00:00:43,976 --> 00:00:48,801
decrease in the x so two decreases

16
00:00:48,801 --> 00:00:54,335
but the overall linear function has
what kind of rate of change?

17
00:00:57,490 --> 00:00:58,872
It is a positive.

18
00:00:58,872 --> 00:01:04,683
So that is just it, if you decrease
y and you decrease x that is a
positive rate of change.

19
00:01:04,683 --> 00:01:11,361
And what the class was just saying
is they were tapping back into their
6th grade knowledge of yea negative
divided by a negative makes a positive.

20
00:01:11,361 --> 00:01:13,484
So but that is how it

21
00:01:13,484 --> 00:01:15,897
pictorally if that is the word

22
00:01:15,897 --> 00:01:17,781
that is how it picture wise

23
00:01:17,781 --> 00:01:20,338
is represented, if you go down and back

24
00:01:20,338 --> 00:01:22,725
well that is still the same thing as

25
00:01:22,725 --> 00:01:24,134
right and up

26
00:01:24,134 --> 00:01:26,308
it is still positive.

27
00:01:26,308 --> 00:01:29,352
k but negative rates of change,
of course they are options