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Algebra Videos 351 videos

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Lines as Models for Distance, Rate, and Time 391 Views


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Transcript

00:00

Thank you We sneak in lines as models for distance

00:06

rate and time Allah shmoop alright A train leaves from

00:10

one station traveling sixty miles an hour After twenty minutes

00:13

it passes a train leaving from another station forty miles

00:16

away from the first what's the name of the conductor

00:21

Well you probably had your fill of these distance rate

00:23

in time Problems in math class is over the years

00:25

But what in the world did they have to do

00:26

with your life Like who takes the train anymore anyway

00:30

Well good news Even if you've never set foot on

00:32

a train in your life Problems like this can help

00:35

you understand relationships between time speed and distance in the

00:38

best way for them to do that is to express

00:40

them as lines on a graph This all right So

00:44

yeah we're gonna have to plot some point Let's call

00:47

our axes Time and distance right here Now we can

00:50

put a point at ten Ten That is when ten

00:53

minutes of gun by our first train moving at sixty

00:55

miles every sixty minutes has gone ten miles it's a

00:58

mile a minute then at twenty twenty thirty thirty and

01:01

so on we brought away Now for a second train

01:04

We now know that train number one went twenty miles

01:07

in twenty minutes The second station was forty miles away

01:10

from the first and it arrived in the same midpoint

01:13

in the same amount of time Well then it also

01:16

went twenty miles in twenty minutes ten miles ten minutes

01:19

a mile a minute using advanced calculus there the exact

01:22

same line Okay so we may not know that the

01:25

conductor's name is moshe but we just figured out that

01:28

the two trains are traveling at the same speed simply

01:31

by looking at two lines and comparing their slope which

01:35

in this case i happen to be identical L know

01:38

what we should really be concerned about is the slope

01:40

that train number one is now approaching Anyone know where 00:01:43.511 --> [endTime] the brakes are in this thing

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