Question

Amy is biking to school from her father's house and Jeremy is biking to school from his aunt's house. Suppose Amy is moving at a rate 10 miles per hour and Jeremy is moving at a rate of 8 miles per hour. Can you assume that Amy will get to school first? Explain.

Answer 1

Well, see the problem is... I don't know how far Amy's father house and Jeremy's aunt hose is from school. If they live on the same place, then I think Amy will come first. Be more clearer plz

Answer 2

At first glance anyone would assume Amy would reach the school first because she is traveling at a faster rate. However, this is only true when both kids are in the same starting place. The question doesn't give us enough information to verify that answer because we don't know the location of the starting place. Perhaps Jeremy would reach the school first because his Aunt's house's closer to the school, even though he is traveling at a slower rate....

Answer 3

No, having the greater rate of change does not mean a function will necessarily reach an output with the smallest input. It also depends on the initial values of the functions. If Jeremy's aunt lives closer to school, Jeremy's rate of change is smaller, but he could still get to school before Amy.