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CAHSEE Math 4.4 Mathematical Reasoning 208 Views


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Description:

Mathematical Reasoning Drill 4 Problem 4. How many students were either not there to vote, or did not show a preference?

Language:
English Language

Transcript

00:03

Here’s a shmoopy question for you…

00:06

The teacher of a math class with 50 students

00:08

allowed the students to decide, by majority vote, what day to hold the final exam.

00:13

Although, with 50 rowdy students, “allowed” may not be the right word.

00:17

“Coerced” might be closer. The results are given in the following graph. 

00:21

How many students were either not there to vote, or did not show a preference?

00:26

And here are the potential answers…

00:32

Let’s figure out what we know.

00:33

There were 50 students total who were asked the question,

00:37

and everyone who responded is shown on the graph.

00:39

So if we figure out how many students are accounted for by the graph…

00:43

…we can subtract that number from fifty to find the number of students who didn’t vote.

00:48

Let’s start by figuring out the scale on the graph.

00:50

Every two lines we see a number that goes up by four.

00:54

Since the unmarked lines split the marked lines in half, we can cut four in half to

00:58

figure out that each horizontal line represents an increase of two.

01:02

So, Monday, for instance, had 14 votes. But Tuesday, Wednesday, and Thursday have bars

01:08

that end between lines… Actually, this isn’t too bad.

01:11

Since each line represents an increase of two,

01:14

a bar that ends between lines just counts as the midpoint of the two.

01:19

Since Tuesday’s bar ends between 2 and 4, it has three votes.

01:22

Similarly, Wednesday has five votes, and Thursday has 9.

01:26

Friday has 16 votes.

01:30

We can add these votes up to get the total number of votes casted.

01:33

14 plus 3 plus 5 plus 9 plus 16 equals 47 votes in total.

01:39

We can subtract that from 50 to get 3, which is the number of people who didn’t

01:44

vote for a specific day.

01:45

The answer is (D).

01:46

As in, “Detention.”

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