SAT Math: Comparing Slopes Between Different Points on a Line

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?

Problem Solving and Data AnalysisTwo-way table data
Product TypeSAT Math
SATSAT Math
SAT MathProblem Solving and Data Analysis
Statistics and Probability
Test PrepSAT Math

Transcript

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According to the graph what is the difference between the

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population growth between eighteen twenty one in eighteen thirty one

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and the population growth between eighteen eleven eighteen twenty one

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

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

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and this section and you can tell this one has

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a higher slope just visually looking at it than this

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

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actually think through a problem Here are the good old

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days of textile steam engines ripped arms out of their

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sockets railways and oh so many people as part of

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the Industrial Revolution About one hundred thousand people each year

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in fact kind of part of it growing In part

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of it we found this answer by starting with slopes

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So we got two slopes here twelve minus ten million

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

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going to subtract the ten minus nine million people in

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

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Elevens We got a ten year period there was that

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

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million people over ten years And that gets us a

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million people over ten years or one hundred thousand people

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

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

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So the answer is B The difference in population growth

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