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SAT Math: Comparing Slopes Between Different Points on a Line 1 Views


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Description:

The graph above shows approximate populations of England at different dates during the Industrial Revolution. According to the graph, what is the difference between the population growth between 1821 and 1831 and the population growth between 1811 and 1821?


Transcript

00:00

Yeah Whoa Okay Math shmoop er's last in this Siri's

00:06

here and we're graphing the population growth of England here's

00:10

population and yeah Amazing what washing your hands will dio

00:14

to increase the population Yeah well graph above shows approximate

00:17

populations of England at different dates during the Industrial Revolution

00:21

According to the graph what is the difference between the

00:23

population growth between eighteen twenty one in eighteen thirty one

00:27

and the population growth between eighteen eleven eighteen twenty one

00:33

So they're talking about the rate of growth different So

00:35

ding ding ding We're talking slope here between this section

00:39

and this section and you can tell this one has

00:41

a higher slope just visually looking at it than this

00:44

one does but didn't give us numbers So let's just

00:47

actually think through a problem Here are the good old

00:49

days of textile steam engines ripped arms out of their

00:52

sockets railways and oh so many people as part of

00:55

the Industrial Revolution About one hundred thousand people each year

00:58

in fact kind of part of it growing In part

01:01

of it we found this answer by starting with slopes

01:04

So we got two slopes here twelve minus ten million

01:09

people over this ten year period Right And then we're

01:12

going to subtract the ten minus nine million people in

01:16

this section here That's eighteen twenty one among is eighteen

01:19

Elevens We got a ten year period there was that

01:21

equal That's two million people over ten years minus one

01:25

million people over ten years And that gets us a

01:27

million people over ten years or one hundred thousand people

01:30

a year Holy Manchester Where's our boy Tommy Malthus When

01:34

we need him member population And that's who Malthus is

01:37

So the answer is B The difference in population growth

01:40

is determined by that slope difference or a hundred thousand 00:01:43.83 --> [endTime] people a year

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