VITAL Activity Template
“Gears and Proportions”A manufacturer has created a new trail bike with 2 front gears (56 and 42 teeth), and rear gears of 21, 28, 35, 47, 58 and 80 teeth.1. How many gear combinations are possible for this new bicycle? Justify your answer.2. Complete the chart below with all possible gear combinations. # Teeth in Front Gear# Teeth in Rear GearRatio of # Front teeth to # Rear teethGear RatioSpeed MultiplierOrTorque Multiplier3. Do any gear combinations that have the same gear ratio?4. Which of these gear combinations would be best to use in a race on a flat road? Explain your answer. 5. Which of these gear combinations would be best for traveling up a steep hill? Explain your answer. ................
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