Suppose you lined up 430,000 people in a straight line, with each person extending out their arms so the tip of their fingers touches the shoulder of the person in front of them. Assume the average distance between each person was 33 inches, how many miles long would that line of people be? Write final answer to 1 decimal place. Use the Unit Conversion Table to complete the conversion. Unit Conversion Table Answer $$ =223.6 imes 0^{6} $$ miles

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Suppose you lined up 430,000 people in a straight line, with each person extending out their arms so the tip of their fingers touches the shoulder of the person in front of them. Assume the average distance between each person was 33 inches, how many miles long would that line of people be? Write final answer to 1 decimal place. Use the Unit Conversion Table to complete the conversion. Unit Conversion Table Answer $$ =223.6 	imes 0^{6} $$ miles

UpStudy AI · Accepted Answer

1. Multiply the number of people by the average distance between them to find the total length in inches. Although there are $$430,\!000$$ people, there are $$430,\!000$$ gaps if we assume each person’s extended arms create a gap of $$33$$ inches between them. (If you consider the gaps as the distance between the centers of adjacent people, you would use $$430,\!000 - 1$$ gaps. However, in this problem it is assumed that each person creates a $$33$$-inch gap.)
   
   $$
   \text{Total inches} = 430,\!000 \times 33 = 14,\!190,\!000 \text{ inches}
   $$

2. Use the conversion factor between inches and miles. There are $$63,\!360$$ inches in $$1$$ mile.

$$
   \text{Total miles} = \frac{14,\!190,\!000 \text{ inches}}{63,\!360 \text{ inches/mile}}
   $$

3. Perform the division:

$$
   \text{Total miles} = \frac{14,\!190,\!000}{63,\!360} \approx 223.6 \text{ miles}
   $$

Final Answer: $$223.6$$ miles.
The line of people would be approximately 223.6 miles long.

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