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Algebra and Functions Videos 30 videos
Algebra and Functions: Drill Set 4, Problem 1. Which of the graphs fits the equation?
Algebra and Functions: Drill 4, problem 2. If the function for the area of a circle with respect to its diameter was graphed in the first quad...
Algebra and Functions: Drill 4, Problem 3. The sum of the quadratic parent function and the line given has which of the following as its graph?
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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