I have a math question for school...?

Question

A blue horse on a carousel rises 1 1/2 feet and falls back down again exactly 8 times for each tome the carousel goes around once. If the horse begins rising just when the carousel starts, how high will it be when the carousel is 2/3 the way around, and will it be going up or coming down?

Ok,,, I need to know the answer AND how you go that answer. Like what strategy did you use.

Answer 1

It will be 1 foot up, going up.

If it goes up and down 8 times, each one is 1/8 of the way round.

To compare 2/3 and 1/8, I found a common denominator.

2/3 = 16/24

1/8 = 3/24

16/24 would be five times up and down (5 x 3/24 = 15/24) plus 1/24, which is a third of the complete up and down.

The complete up and down of the horse is 3 ft (1 1/2 up and 1 1/2 down), so a third of that is 1 foot.

The horse is therefore 1 foot up on its sixth rising, going up.

EDIT

Yes, just finding 2/3 of 8 would be simpler!

2/3 x 8/1 = 16/3 = 5 1/3

5 complete up and down cycles plus1/3

1/3 of the 3 feet up and down is 1 foot.

If it's not half way/ not gone 1 1/2 feet yet, then it's still going up.

Answer 2

What do u want us to do

do ur homework for u  

Answer 3

I think you find 2/3's of 8, which is 5.33333333 ( so it's gone up and down 5 times and a bit)

Times that by cause the bit after the decimal point is below 0.5 it must be going up. I donno how to work out how high its gone.

I might be wrong.

What year or grade are you in?

Answer 4

I'm not sure what mathematical formula there is for doing this but wat you could try is drawing a circle to represent the carousel and then draw 8 lines or symbols to represent where it would be going down and then everything in between those would be going up...this would give you points total and if you figure out 2/3 of 16 and figure out where that point would be on you circle you would be able to see that the horse would be going down.  not sure on how you would know what height the horse is at i was estimate .75 feet.

Answer 5

It will really help you to draw a diagram for this question. So it goes up 1.5feet and down 1.5feet each time. Add those together and multiply it by the number of times it does this. Then find out how many times it will be for 2/3 of that number. If it ends in .0, it will be coming down; if it ends in .5, it will be going up. Make sense?