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Mathematical Reasoning Videos 30 videos

CAHSEE Math 1.1 Mathematical Reasoning
228 Views

CAHSEE Mathematical Reasoning: Drill 1, Problem 1. Based on this information, which of the following can be determined?

CAHSEE Math 1.2 Mathematical Reasoning
185 Views

CAHSEE Math Mathematical Reasoning: Drill Set 1, Problem 2. Which of the following should be the most appropriate first step in solving the equation?

CAHSEE Math 1.3 Mathematical Reasoning
183 Views

CAHSEE Math Mathematical Reasoning: Drill 1 Problem 3. Which of the following is the correct order of steps?

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CAHSEE Math 4.5 Mathematical Reasoning 181 Views


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Description:

Mathematical Reasoning Drill 4 Problem 5. With each Pea paying $2.25, how many miles did the taxi drive during the ride?

Language:
English Language

Transcript

00:03

If at first you don’t succeed, shmoop, shmoop again…

00:08

The four Black Eyed Peas are late for a gig.

00:11

They’re determined to have a good good night,

00:13

so they decide to grab a taxi in order to make it to the venue on time.

00:16

The following graph shows the relationship between the cost of a taxi ride and the number

00:20

of miles driven by the taxi to its destination.

00:23

With each Pea paying $2.25, how many miles did the taxi drive during the ride?

00:29

And here are the potential answers…

00:35

To solve this question, we need to take two steps.

00:37

First, we need to figure out how much money the four Peas paid in total.

00:41

Then, we can plug that in as the total cost of the ride to figure out how far the taxi took them.

00:46

There were four people, and each paid $2.25…

00:50

…so we can multiply 4 by $2.25 to get that, in total, they paid $9.

00:56

Must be a celebrity rate. So now, all we have to do is find where $9

01:00

is on the y-axis and then find the corresponding x-value.

01:04

But looking at the graph, there isn’t a nine…

01:06

That’s okay, though… we can figure out where nine is using the points we do know.

01:11

Every two lines we see an increase of four, which means that each line marks an increase of two.

01:18

This means that halfway from one line to the next is 1.

01:22

We want to find where on the y-axis we get nine, which is one more than eight.

01:26

This means we need to go halfway between eight and the line above it. That’s right here.

01:31

Now we have to figure out the scale on the x-axis.

01:34

Every four lines, the distance goes up by eight miles.

01:38

Dividing by four, we can find that each line marks an increase of two miles.

01:43

The vertical line we care about is just before sixteen, which is fourteen.

01:47

So, our answer is (C).

01:49

As in, “Celebrity rate.”

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