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anonymous

  • one year ago

The scatter plot below shows the relationship between the length (x), in meters, and mass f(x), in kg, of a marine animal: ordered pairs 1, 1 and 2, 11 and 3, 21 and 4, 31 and 5, 41 and 6, 52 and 7, 65 and 8, 71 and 9, 82 and 10, 94 Which of the following functions is best represented by the scatter plot?

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  1. amistre64
    • one year ago
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    and our functions are? if you can post a screenshot it may prove useful

  2. amistre64
    • one year ago
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    also, define for us what is meant by "best".

  3. anonymous
    • one year ago
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  4. anonymous
    • one year ago
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    f(x) = 9 − 10.3x f(x) = −10.3 + 9x f(x) = −9 + 10.3x f(x) = 10.3 − 9x

  5. amistre64
    • one year ago
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    ok, is the slope going to be positive or negative?

  6. anonymous
    • one year ago
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    positive

  7. amistre64
    • one year ago
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    then we can rule out 2 options at the start

  8. anonymous
    • one year ago
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    wait no the first & last one

  9. amistre64
    • one year ago
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    we want to keep b and c

  10. amistre64
    • one year ago
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    so, how do we define a reasonable slope? any ideas?

  11. amistre64
    • one year ago
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    consider that we move from 1 to 10, i change of 9 we have 2 slopes to work with in our options y/9 = 9 and y/9 = 10.3 it seem to me that y goes from 0 to about 95, which one gives us a y value closest to this?

  12. anonymous
    • one year ago
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    y/9=10.3 ?

  13. amistre64
    • one year ago
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    i agree

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  14. amistre64
    • one year ago
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    a slope of 9 gets us to 81, too short, so the 10.3 has to be better

  15. amistre64
    • one year ago
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    another sort of test, let x = 10 -10.3 + 9(10) < 90 -9 + 10.3(10) > 90

  16. anonymous
    • one year ago
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    -10.3 + 9(10) < 90

  17. anonymous
    • one year ago
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    ?

  18. amistre64
    • one year ago
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    what is 90 - 10 ?

  19. amistre64
    • one year ago
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    notice our point at x=10 is about 95, or greater than 90

  20. anonymous
    • one year ago
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    f(x) = −10.3 + 9x ?

  21. amistre64
    • one year ago
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    if thats your pick for an answer, im going to disagree.

  22. amistre64
    • one year ago
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    we want about 95 when x=10 what is -10.3 + 9(10) ?

  23. anonymous
    • one year ago
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    its -10.3+9x

  24. amistre64
    • one year ago
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    you havent answered my question

  25. amistre64
    • one year ago
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    or, are you saying that is what some answer key gives you? you arent being very clear to me.

  26. anonymous
    • one year ago
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    im saying that one of the answer choices i thought it was .... sorry

  27. amistre64
    • one year ago
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    thats what i had thought you meant but wasnt sure. -10.3 + 9(10) = 79.7 |dw:1432953041331:dw|

  28. amistre64
    • one year ago
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    do you see that we are not very close to where we need to be?

  29. anonymous
    • one year ago
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    yea

  30. amistre64
    • one year ago
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    -9 + 10.3(10) = 103-9 = 94

  31. amistre64
    • one year ago
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    so out of the 2 options f(x) = -9 + 10.3x seems to work better for us

  32. anonymous
    • one year ago
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    yea it does

  33. amistre64
    • one year ago
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    good luck :)

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