Question

1) The amount of time it takes Oliver to run his trains around the toy railroad track is directly proportional to the number of trains that he is playing with. If it takes him a minutes to run c trains around the track, how many minutes in terms of a and c, will it take him to run 5 trains around the track?

A) 5ac
B)
5c
a
C)
5a
c
D)
ac
5

2) Triangle BCD and triangle EFG are similar right triangles. What side corresponds to side BD?
A) side EG
B) side EF
C) side CD
D) side FG

Answer 1

1) So it is asking what the "time is takes" is so it will be in the form a=c*K (K is the constant).

In this case the constant is 5, so the answer would be a=c*5

2) The question is asking for the side that corresponds to BD. BD is the hypotenuse on that triangle. Therefore the corresponding side to BD would be the hypotenuse of the other triangle: EG

Answer 2

1) It takes him ac minutes to run his train(s) around the track.
a being the time it takes to move ONE train around the track,
c being the number of trains.

When he has 5 trains, it is just 5 times that, since they are both proportional.
5ac


2) A) EG corresponds with BD, since they are both the hypotenuse.