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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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