Final answer:
Gear 2 makes 6 revolutions for every 10 revolutions that Gear 1 makes, based on the ratio of their teeth, 25 to 15.
Step-by-step explanation:
If Gear 1 has 25 teeth and Gear 2 has 15 teeth, we can set up a ratio to figure out how many revolutions Gear 2 makes for every 10 revolutions that Gear 1 makes. This is a proportional relationship based on the number of teeth, as the gears will complete revs inversely to the number of teeth they have. This is because if a gear has more teeth, it will take longer to make one full revolution.
Using the ratio of teeth, Gear 1 : Gear 2 = 25 : 15, we can simplify this to a 5 : 3 ratio since both numbers are divisible by 5. This means that for every 5 revolutions of Gear 1, Gear 2 completes 3 revolutions. Therefore, for every 10 revolutions of Gear 1, Gear 2 completes 6 revolutions.