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Algebra and Functions: Drill Set 4, Problem 5. What is the slope of the line in the graph?
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?
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
Full Transcript
- 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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