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anonymous

  • one year ago

You throw a ball straight up from a rooftop. The ball misses the rooftop on its way down and eventually strikes the ground. A mathematical model can be used to describe the relationship for the ball's height above the ground, y, after x seconds. Consider the following data:

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  1. anonymous
    • one year ago
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    D. y = -16x2 + 80x + 50

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  2. anonymous
    • one year ago
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    @JoannaBlackwelder your gonna earn a ton of medals today lol

  3. anonymous
    • one year ago
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    for this my answer was d but i wasnt sure if it was right

  4. JoannaBlackwelder
    • one year ago
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    Haha, looks like I may be getting a bunch of medals. :-) But I don't think that equation models all of the data.

  5. anonymous
    • one year ago
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    so d is not right or what

  6. JoannaBlackwelder
    • one year ago
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    No, that model doesn't fit the data.

  7. anonymous
    • one year ago
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    hold on ill explain what i did

  8. JoannaBlackwelder
    • one year ago
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    Ok

  9. anonymous
    • one year ago
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    the one thing I do notice is that since this is parabolic, everything will be symmetric about the vertex. Now the vertex is -b/2a. Now I also notice that 1 and 4 have the same value, which means the vertex HAS to be in between 1 and 4. The middle of 1 and 4 is 2.5. So what this means is that -b/2a has to equal 2.5. Only two of your answers meet that condition, a and d.Now between a and d, you would just need to plug in values. f(1) should equal 114. Looks like they do for a and d. Now to check f(2). Looks like only d works for f(2) so the answer is d

  10. anonymous
    • one year ago
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    does that make since

  11. JoannaBlackwelder
    • one year ago
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    Yeah, your statement makes sense, except that I don't get f(2) to be 146.

  12. anonymous
    • one year ago
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    why whats confusing you

  13. JoannaBlackwelder
    • one year ago
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    Oh, you're right! I made a typo. :-) That function does match the data!

  14. anonymous
    • one year ago
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    ok thnx i just wanted to make sure my work waqs good

  15. anonymous
    • one year ago
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    on to your next metal lol

  16. JoannaBlackwelder
    • one year ago
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    Yep, no worries :-)

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spraguer (Moderator)
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