 12x L2a MP2 Part 2: Intermediate Algebra – Computing Average Rate of Change (Part 2)

Continuing on with this question part D were asked what do you notice about
the average rate of exchange for the function E of T. Well if you go back
and look at all the values that were computed in
A, B, and C in the previous video all of the
rates where the same and that was negative
77.2 feet per year. Let’s take a minute and draw good graph of the function B of T with all appropriate labels. I’m gonna pause the video and do that
myself. So it’s just gonna appear here in a
second I recommend that you pause the video try to draw your own good graph and
then compare it with what you’ll see on the screen shortly. All the items that I’ve drawn here or written here need to be contained in your car so that
you have drawn a good graph and let’s see what those are. We need to label our horizontal and vertical axis completely including, tick marks that are evenly spaced notice I’m spacing by 3 on the horizontal and by fours on the vertical that’s okay
as long as you’re consistent between horizontal and the vertical you should label your tick marks. You should plot a representative sample of ordered
pairs from the data set that you’re given. Any
ordered pair that you plot should be labeled as I’ve done here. Notice that my graph does not begin or extend beyond the data set that I’m given. I can’t make assumptions
right now about what happens here or what happened
here so I’m limited to universe that start with an input of 0 and ends with
an input of 6. These are all the elements that should be contained in every good
graphic that you draw for this class. So let’s see what we can
tell from this good graph. First of all I’m
gonna go back to my calculator and if I go to my Y equals I can see that I have my equation there. I’m gonna hit graph and see if I get something similar and I’m not gonna get anything similar
because my window is not going to show me the points
that are on this function yet. So let me go to my window and change some values. I’m gonna start my x minutes 0 because I just talked about the universe
that my equation lives in 0 to 6 and then my Y I’m gonna start at 0 and im gonna take that up to you for thousand. So take a look at those values
there and make sure that they make sense 0 to 6 for input 0 to 4,000 viewing window for output. Now let’s hit graph and see if we get a decent picture. We do kinda it’s a little bit jumping but, that is
because see how are graph here started at 3350. So let’s go back to our window and make R Y min instead of 0 let’s make it 30 this one then would be 3250
actually and lets you forget something that looks
closer to what we have there we go. So when you start to notice this is 0-to
3350 that’s not and you know inappropriate interval make
a little note here with some squiggly lines because that means
that this whole part of your graph is missing
but that’s okay because this is the part that we care about. So what we notice is that because the
average rate of change is constant for the data we have a linear function that’s what our graph is we have a
linear function the slope is negative 77.2 and that is confirmed by our equation. Average rate of change that and slope
are the very same thing