Thursday, November 26, 2015

POTW #13 - Decathlon

Please see the POTW #12 answer below. I think only a couple students obtained the correct answer. Do you see why?

(POTW #13 follows that).



POTW #13 - Decathlon


15 comments:

  1. If Willy get's a average score of 6.8 on the first five events, the he had 34 points in the first five games
    6.8 x 5 = 34 (first five events)
    on the next three events, he scored 7.2 (6,7, and 8 event)
    7.2 x 3 = 21.6
    Together added, he had 55.6 points in 8 games
    34 + 21.6 = 55.6
    19.4 is the average of points needed to get in the last two games to get the total of 75 points.
    75 - 55.6 = 19.4

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    Replies
    1. and since he has 2 more events left, you'd divide it by 2 to get 9.7
      19.4 ÷ 2 = 9.7
      Willy has to get the average of 9.7 and the next two events

      Delete
  2. 6.8 x 5 = 34
    7.2 x 3 = 21.6
    34 + 21.6 = 55.6
    75 - 55.6 = 19.4
    x2 = 19.4
    19.4 / 2 = 9.7
    His average score must be 9.7. I got this by first determining the amount of points Willy got so far and subtracted that from 75. then I divided that by 2 to get what his average score must be for the final 2 events.

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  3. We can solve this by finding the average out of 8 games, and then find the score he will need for the 9th and 10th event.
    6.8 x 5 games= 34 points
    7.2x 3 games= 21.6 points
    8 games= 55.6
    75 points -55.6= 19.4
    19.4 points in 2 games= 9.7 points each game to advance.

    Willy must get 19.4 points in 2 games or an average of 9.7 points each game! Better luck next time, Willy.

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  4. If Willy's first average score was a total of 6.8, for the first 5 events, then to find the overall points scored you would multiply 6.8 by the amount of events(5):
    6.8 x 5 = 34
    Therefore, 34 is the total amount of points scored in the first 5 events. To find the overall amount of points scored in the next 3 events, you would multiply the average and the amount of events again:
    7.2 x 3 = 21.6
    Then, I added the first two totals together:
    34 + 21.6 = 55.6
    This was the amount of points for the first 8 events. To find the last average needed, I subtracted 55.6 from 75:
    75 - 55.6 = 19.4
    Because there was a total of 10 events, and 8 were already completed, I know that 2 events are left. Therefore, I divided 19.4 by 2 to find the last average:
    19.4 ÷ 2 = 9.7
    The smallest average that he could have gotten to get to 75 points in his last 2 events is 9.7 or 19.4 points.

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  5. In the first 5 events, willy got a 6.8 average.
    In the next 3 events, he got a 7.2 average.
    5*6.8= 34
    3*7.2=21.6
    34 + 21.6= 55.6

    that means he has 55.6 points so far.
    75-55.6= 19.4

    So he needs 19.4 point in the next 2 events to move forward to regional.
    19.4/2 = 9.7.
    Therefore he needs at least a 9.7 in both of the next events to get into regionals.

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  6. I did it hard copy

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  7. In the next 2 rounds, he needs to get an average of 9.7. I did the reverse of what you do to find average to answer this question. So that means, I multiply his average by the amount of games that average was of. So in the first 5 rounds, his average was 6.8, 6.8*5 is equal to 34, his total score in the first 5 rounds. In the next 3 rounds, his average was 7.2, 7.2*3 is equal to 21.6, his total score in the next 3 rounds. Add these 2 scores up totaling to 55.6. If he needs at least 75 points, and we are trying to find what his average should be in the next 2 rounds, we should subtract 55.6 from 75 leaving us with 19.4. This is the total score of the points he gains in the lat 2 rounds. Since this is not the average already, we divide it by the number of rounds it represents, 2. So 19.4/2 gives us the quotient of 9.7, the average he needs to get in the next to rounds to get exactly 75 points.

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  8. So far Willy has a 6.8 average and a 7.2 average. I need to find his total points.
    5 x 6.8 = 34 and 3 x 7.2 = 21.6 and 34 + 21.6 = 55.6
    Therefor, he now has 55.6 points and 75 minus 55.6 is 19.4
    He needs 19.4 points to get at least 75 points.
    19.4 divided by the 2 events is 9.7
    In the end willy is going to have to get at least a 9.7 average in both to get 75 points or more.

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  9. Since in the first 5 events he got 6.8 and we know that to find an average u divide by the number of numbers it is 6.8x5=34. Then to continue he got 7.2 as an average for 3 . 3x7.2=21.6. I then did 21.6+34 to find the amount he got in the first 8 events. 21.6+34=55.6. So then, to find the amount of scores he still requires I did 75-55.6= 19.4. Since there are 2 events left I did 19.4/2=9.7. he needs an average of 9.7 in his last 2 events.

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  10. The first 5 events had the average of 6.8 . I multiply the average by the amount of events done to get to the total. 6.8 * 5 = 34. the next 3 events had an average of 7.2, I do the same thing again because its in the same situation with different numbers. 7.2 * 3 = 21.6. I add them together to get the total score. 34 + 21.6 = 55.6. then I take that away from the goal of 75 points. 75 - 55.6 = 19.4. Because they ask for the total average for round 9 and 10, I divide it by the two rounds left. 19.4 = 9.7. He needs an average of 9.7 per round to advance. Because of his previous two averages, I would assume that he never advanced past this point.

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  11. To find what Willy must average on his last few events, I first worked backward from the averages given.
    The first 5 events had an average of 6.8
    So I multiplied 6.8 by the amount of events (5) = 34 points in the first 5 events
    The next 3 events had an average of 7.2, so I multiplied that by 3 = 21.6 points in the next 3 events
    The question asks "What must Willy average on his last 2 events to get an average of 75 points?"
    So to find that, I added the other points:
    75 - ( 34 + 21.6) = 12.4, so Willy needs to achieve 12.4 points in his last 2 events.
    12.4 / 2 = 6.2
    The average Willy needs to achieve on his last 2 events is 12.4

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  12. We alraedy know the average of 2/3 of his events, so we find the events in total.
    The first 5 events had an average of 6.8, which is a total of 34.
    The next 3 events had an average of 7.2, which is a total of 21.6.
    I then added these to see what he has so far.
    34 + 21.6 = 55.6
    Then I subtract that from 75 to get what he needs.
    75 - 55.6 = 19.4
    He needs 19.4 points to advance to the regional level.

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  13. Since Willy had an average of 6.8 in the first 5 events he had 34 points (6.8 x 5 = 34). 75 is the amount he needs to get in, so 75-34= 41, he needs 41 more points. Next, I know he got an average of 7.2 in the next 3 rounds. So, 7.2 x 3 = 21.6. 41-21.6= 19.4. 19.4 points to go. He has two more rounds left, round 9 and 10. Therefore, I divided 19.4 by 2 to get the answer of 9.7.

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