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Write and solve an absolute value equation for the minimum and maximum times for an object moving at the given speed to travel the given distance. Absolute value 2.5 mi. 5 mi/h for 10 mi

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The absolute value equation representing the minimum and maximum time taken to travel a 10 mile distance is 0.5 ≤ t ≤ 2

Given the Parameters :

  • Minimum distance = 2.5 miles

  • Maximum distance = 10 miles

  • Speed = 5 miles per hour

  • Let, time taken = t

Recall :

  • Time taken = distance / speed

Minimum time taken :

  • 2.5 / 5 = 0.5 hour

Maximum time taken :

  • 10 / 5 = 2 hours

Therefore, the absolute value equation for the time taken can be expressed as 0.5 ≤ t ≤ 2

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