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CAHSEE Math 3.1 Statistics, Data, and Probability II 170 Views


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Statistics, Data, and Probability II Drill 3 Problem 1. According to the graph, when do the cars achieve their greatest difference in speeds?

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Transcript

00:02

Here's your shmoop du jour...

00:04

Two cars, starting at the same place, took different routes to the same destination.

00:09

Their speeds with respect to time are given by the graph shown below. 

00:13

According to the graph, when do the cars achieve their greatest difference in speeds?

00:19

And here are the potential answers:

00:24

Can we read a line graph?

00:26

The question is asking for a DIFFERENCE in speed so

00:30

we know there’s a big fat subtraction problem coming.

00:33

We just have to know what we’re subtracting from what.

00:37

And we’re on the hunt for the biggest difference here… so where are the lines furthest apart?

00:43

…let’s just use the potential answer set to figure out the differences.

00:47

A says: After 5 minutes.

00:49

Well, if this is after 20 minutes… and half way back to t minus zero is here – that’ll

00:55

be the 10 minute mark and half way again puts us here at the 5 minute mark…

01:00

So… ok… we put our ruler here and draw a line straight up…

01:06

…and we intersect the blue line at about the 15 mile per hour mark and then don’t

01:11

hit green line car 1 until the 40 minute mark.

01:15

A difference of 25 miles an hour. OK, how about B? After 10 minutes, blue is

01:21

at about 37 miles an hour and green is about 50 miles an hour… so just about 13 miles

01:28

an hour difference there. A is still winning. C. Well, after 20 minutes they are about the

01:34

same speed so C doesn’t have a prayer. Let’s try D. Green is about 62 and blue

01:41

is about 70 – slow and steady wins the race, we guess…

01:45

…but we didn’t care WHO wins – all we care about for this problem is at what point

01:49

there is the greatest distance between the two cars.

01:53

It looks like the winner is answer A with 25 miles an hour difference after minute 5.

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