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2. Suppose there are 6 million people in New York City that walk an average of 2.5 miles per day. If we add up all the miles walked by these 6 million how many times around the Earth would these walkers have gone? Assume the distance around the Earth is 2.5 * 10 ^ 4 miles. Write your result in scientific notation.

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mhanifa

Answer:

  • 600 times

Step-by-step explanation:

Given

Number of people:

  • 6 million = 6*10^6

Distance to walk:

  • 2.5 miles per day per person

Distance around the Earth

  • 2.5*10^4

Solution

Total distance walked:

  • 6*10^6*2.5 = 15*10^6

The ratio of total distance to the distance around the Earth:

  • 15*10^6 / 2.5*10^4 = 6*10^2 = 600 times

Number of people:

6 million = [tex]6[/tex] × [tex]10^{6}[/tex]

Distance to walk:

2.5 miles every day per person

Distance around the Earth

[tex]2.5[/tex] ×[tex]10^{4}[/tex]

Total distance walked:

[tex]6[/tex] × [tex]10^{6}[/tex] × [tex]2.5[/tex] [tex]= 15[/tex] × [tex]10^{6}[/tex]

The ratio of total distance to the distance around the Earth:

[tex]15[/tex] × [tex]10^{6}[/tex] / [tex]2.5[/tex] × [tex]10^{4}[/tex] = [tex]6[/tex] × [tex]10^{2}[/tex] = [tex]600[/tex]

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