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Suppose you ride your bike uphill to work at a speed of at least x mph. Going downhill on the way home, your speed is 5 mph faster. Your average speed to and from work is at least 12 mph. Which is the correct inequality to model the situation?

Respuesta :

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The inequality model which describes the scenario can be expressed as x ≤ 12 ≤ x + 5

  • To speed = ≥ x

  • Fro Speed = 5 mph Faster = ≥ x + 5

  • Combined speed average ≥ 12

The inequality expression which models the scenario could be written thus :

  • The Fro speed is the maximum speed of the bike, hence, the upper limit

  • The To speed is the least speed of the bike, hence, the lower limit

  • The average speed is the intermediate speed of the bike

The inequality expression for the scenario can be modeled thus :

Minimum speed ≤ average speed ≤ maximum speed

Therefore, the correct inequality model is x ≤ 12 ≤ x + 5

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