potm4

[|I hope this helps, too!]​Shown on this page is our final response to POTM # 4.

1 -=] 2 - sounds good to me :) 3 - ​Nice. I like it! Awesome. :] Giddyupppers...! 4 - Thats wat i got :) 5 - It's perfect. =) 6 It looks good to me. :) I luv the diagrams 2! :) 7 -I like the illustrations, Excelent job everyone! 8 - I agree that the fly flew 25 miles when the horses met 9 - 25 miles. Oh yea! Everyone did awesome. Including me. Let's go little fly dude! And the horses too! 10 - yurrppss . i agree with that . and i think the thats a good chart down there . 11 - Agree with everyone, great pics, nice job everyone!!! 12 -yes i agree with everybody that its 25 miles woo 13 - I agree with what was done so far and added my explanation from my work. 14 - It looks great! I like the pictures! Good job! :] 15 -I say 25 along with everybody elses answer. Good job guys! Everything looks great 16 - I think it's 25 becuase Iooked at all my work and compared it to everybody else's and I had similar results **(-_-)** thanks guys and good job. Also the illustrations were very helpful and I hope to see them in future problems "_" 17 -It looks good to me. 25 miles matches with my work. Nice diagrams and pics. 18 - The chart shows the problem well and i still think the answer is 25. 19 - I agree with the whole class that the answer is 25 miles.YEAH, OUR CLASS IS BEAST MODE$$$. 20 -I don't know I feel the answer is too simple. Maybe if we change the hours to minutes. Like 15 minute intervals. It would make the work longer but the answer might change. 21 - yep. i still think the answer is 25. and #10 you copied my font so i had to change it! -_- i also like the picture. 22 -​ yupperss!! =) i agree with everyone one else! good team work guyss!! 23 - **i agree that the fly flew 25 miles. =]** 24 - I agree that the answer is 25. The pictures really helped thanks guys :). 25 - I would agree that it flew twenty five miles, the pictures atcually helped me understand the potm better 26 - Everyone is right, 25 miles. The key thing is to know that when the fly turns around *it does not lose anytime* 27 - I agree completely. Our class is so smart. Ok that's good.(: 28 -​ **the work done with the let stament makes sense to me so i agree the fly flew 25 miles before the horses met :)** 29 -I agree with the class, the answer is 25 miles.
 * __Class Member Contributions__**

Two horses approach each other along the same country road, one walking at 8 mph, and the other at 7 mph. When the horses are 15 miles apart, a horsefly leaves one horse and flies at 25 mph towards the other. No sooner does the fly reach that horse than it turns around (losing no time on the turn) and returns to the first horse. If the fly continues to fly back and forth between the approaching horses, how far has the fly flow when the horses meet?

**// 1 point //**** State ** what the problem is looking for. How far has the fly flown when the horses meet? The fly flew 25 miles when the horses meet. Let x = the number of hours needed for the horses to meet. 7x+8x = 15 miles to get when the time needed for the horses to meet. we combine like terms: 15x = 15 Then we get the x alone by dividing 15. 15x/15 = 15/15 x=1 It takes 1 hour for the horses to meet. The question is looking for how many miles the fly flew by the time the two horses meet. If the fly flies 25 miles per hour, the fly flies 25 miles in 1 hour. 25(1)=25
 * // 2 points //**** Answer ** the problem correctly.
 * // 5 points //**** Explain the process ** you used to solve the problem.

THANK YOU SOOOO MUCH!! once i read this i understood it because of the equation because before i wasn't sure what x would be and where it would be and what would be the equation but this makes sooo much more sense :).

​ In addition to that picture, [|I hope this helps, too!]
 * || R* || T = || D ||
 * Horse 1 || 7 || x || 7x ||
 * Horse 2 || 8 || x || 8x ||

7x + 8x = 15 x=1 (1 hour when they meet)


 * || R* || T= || D ||
 * Fly || 25 || 1 || 25 ||

25(1) = 25 (25 miles)

I drew a picture of the two horses on the country road and the fly flying back and forth. I noticted also noticed that the horses would meet after an hour.(because they are 15 miles apart and one horse travels 8 miles in an hour and the other one travels 7miles in an hr. <span style="color: #0b0aff; font-family: 'Times New Roman',Times,serif;">So, 8 miles plus 7 miles would be 15 miles, which was what they began with. <span style="color: #00ff00; font-family: 'Times New Roman',Times,serif;"> So then i figured out that the fly flies 25 miles in an hr. so that means the fly had flown 25 miles by the time they me. (Team member 13)

It is correct, because the fly can only fly 25 miles no matter how many turns the fly took. (25 mph) Another way of doing this problem is to draw a chart/picture that represents the horse traveling and the fly flying toward the horse and back then going again until the horses meet. I think that would take too much time to do, because we kept getting weird numbers such as 1.6903409 miles with the bar on top of the 09. Here's a way to solve the problem using a picture:
 * // 2 points //**** Justify ** your answer.


 * || [[image:snapshot.jpg caption="snapshot.jpg"]] ||
 * snapshot.jpg ||  ||
 * snapshot.jpg ||

It's not done, but we believe that if you keep graphing it we will get 25 miles flown for the fly, too.