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On a run, Natasha ran for 1 1/4 hours at a speed of 6 miles per hour. She then rested for 1/4 hour before running another hour at a speed of 5 miles per hour. Which graph best represents the distance she traveled ?

On a run, Natasha ran for 1 1/4 hours at a speed of 6 miles per hour. She then rested-example-1

1 Answer

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Answer: option 4 is the correct answer.

Explanation:

The graphs shown in the photo are plots of distance versus time.

Distance travelled = speed × time

On a run, Natasha ran for 1 1/4 hours at a speed of 6 miles per hour. The distance that she covered would be

6 × 1.25 = 7.5 miles

She then rested for 1/4 hour. This means that her speed is 0 and the distance covered is also 0 miles.

She then ran for another hour at a speed of 5 miles per hour. Distance covered would be

5 × 1 = 5 miles

Total time spent would be

1.25 + 0.25 + 1 = 2.5 hours

Total distance covered would be

7.5 + 5 = 12.5 miles

Therefore, the 4th graph best represents the distance she traveled

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