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CAHSEE Math 2.3 Algebra and Functions 238 Views
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Description:
Algebra and Functions Drill 2, Problem 3. After 10 minutes of walking, how far apart are they?
Transcript
- 00:03
Here's a shmoopy question for you...
- 00:06
Two trolls, Jimmy and Jonny, are walking home after a long night of...clubbing.
- 00:11
Their distances from home (in feet) as a function of time (in seconds) are given by the following graph.
- 00:20
After 10 minutes of walking, how far apart are they?
- 00:23
Here are the potential answers...
Full Transcript
- 00:25
Before we spoil the ending, hit pause and try it yourself.
- 00:30
Can we read a graph? Answer: yes.
- 00:33
Can we read it accurately? Eih...well, let's see.
- 00:37
OK so the first prep work we have to do here is to get the units all on the same page.
- 00:42
The trolls are walking...well, lumbering, really...
- 00:49
10 MINUTES, and the graph is giving us the time units in seconds. Thanks a lot, graph.
- 00:54
So...with 60 seconds in a minute, and 10 minutes involved,
- 00:58
we need the mark to hit at the 600 point.
- 01:02
Now draw a line vertically from that point and let's see where it intersects.
- 01:05
Looks like about...here.
- 01:07
In 10 minutes, Jimmy walked this many feet;
- 01:10
and in those same 10 minutes, Jonny walked this many feet.
- 01:14
We have to label a few grid lines here.
- 01:17
This one is half way between 4800 and 2400 so it's gotta be 3600...
- 01:21
...this line is half way between 3600 and 2400 so it's gotta be 3000...
- 01:27
...and this one is half way between 3600 and 4800 so it's gotta be 4200.
- 01:33
So now we just note the feet.
- 01:35
Jimmy is 3000 feet along the way and Jonny is 3600 feet along the way...
- 01:41
so they are 3600 minus 3000 feet...or 600 feet apart.
- 01:46
And the answer is B.
- 01:47
See, that wasn't too ogre-ly complicated!
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