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Graph each of the sets listed below on a number line, and you can choose to labe

ID: 2912525 • Letter: G

Question

Graph each of the sets listed below on a number line, and you can choose to label your tick marks either with a linear scale or with a logarithmic scale (See below). For which items should You use a logarithmic scale? For which items should You use a linear scale? Why? Show evidence of Your thinking.

The wealth of ten people, where one of the people has assets for one million dollars and another one is a billionaire.

The number of meals eaten at a restaurant over two days for a random sample of 20 people worldwide, assuming that each person eats exactly three meals per day (so you need to plot 20 values, each representing a number of meals).

The number of people living in Manhattan, in the State of New York, in The United States, in North America and on the entire Earth.

(d) Let's draw another number line, with evenly spaced tick marks, labeled as consecutive powers of 10 0.1 10 100 1000 Note that each tick mark on this line represents a number that is ten times the number of the preceding mark. This number line is called a logarithmic scale. i. Where are the one million and one billion dollar marks? ii. Plot the numbers 2, 5, 8, 9 on this number line

Explanation / Answer

The wealth of ten people, where one of the people has assets for one million dollars and another one is a billionaire.

Log scale

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The number of meals eaten at a restaurant over two days for a random sample of 20 people worldwide, assuming that each person eats exactly three meals per day (so you need to plot 20 values, each representing a number of meals).

Linear scale

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The number of people living in Manhattan, in the State of New York, in The United States, in North America and on the entire Earth.

Log scale
because Manhattan population is very very small compared woth the entire population of earth

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After 1000,
10000 , 100000 , 1000000

So, it is 3 after 1000

And similarly
a billion will be 6 after 1000

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