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Ratios, Percentages, and Proportions Videos 55 videos
SAT Math 10.3 Geometry and Measurement. What is the ratio of birds to dogs?
SAT Math 2.1 Statistics and Probability. Which two items have the highest protein to fat ratio?
SAT Math 2.2 Statistics and Probability. What percent of her recommended daily intake of 2000 calories did she consume?
CAHSEE Math 3.2 Statistics, Data, and Probability I 190 Views
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Description:
Statistics, Data, and Probability I: Drill Set 3, Problem 2. Which day had the greatest percentage increase in time spent from the previous day?
Transcript
- 00:03
Here's an unshmoopy question you'll find on an exam somewhere in life...
- 00:06
The following graph shows the number of minutes that Kate had spent working on
- 00:10
math homework over the course of a week.
- 00:13
Which day had the greatest percentage increase in time spent from the previous day?
- 00:18
Here are the potential answers:
Full Transcript
- 00:25
Okay, so this question is testing whether we can read a graph...
- 00:30
...and do we know what percentage increase means? Well, let's see.
- 00:34
Percentage change is calculated by taking the new number minus the original number
- 00:38
divided by the original number. New minus old over old. Remember that mantra.
- 00:43
In this case, percentage increase means that the new number must be larger than the original number.
- 00:51
So, just by looking at the graph, we can see that Friday and Saturday are decreases.
- 00:55
So we can automatically eliminate choice D.
- 00:58
Taking a look at our other answer choices, Tuesday, Wednesday, and Friday...
- 01:03
as in any percent question, a little red light should go off in our head,
- 01:06
indicating that things off of a small base can grow a lot
- 01:11
in the next iteration simply because the base is so small.
- 01:15
We don't actually have the calculate the percentages.
- 01:17
That would be a pain and a waste of time.
- 01:20
If we just do a visual inspection of the graph, we can see that the increase from Thursday to Friday is the largest.
- 01:27
So our answer is C, Friday.
- 01:29
...which, if you ask us, is a weird night to do the majority of your homework.
- 01:33
Take a night off, Kate. You've earned it.
- 01:36
Just don't party too hard.
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