anonymous
  • anonymous
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?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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amistre64
  • amistre64
and our functions are? if you can post a screenshot it may prove useful
amistre64
  • amistre64
also, define for us what is meant by "best".
anonymous
  • anonymous

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anonymous
  • anonymous
f(x) = 9 − 10.3x f(x) = −10.3 + 9x f(x) = −9 + 10.3x f(x) = 10.3 − 9x
amistre64
  • amistre64
ok, is the slope going to be positive or negative?
anonymous
  • anonymous
positive
amistre64
  • amistre64
then we can rule out 2 options at the start
anonymous
  • anonymous
wait no the first & last one
amistre64
  • amistre64
we want to keep b and c
amistre64
  • amistre64
so, how do we define a reasonable slope? any ideas?
amistre64
  • amistre64
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?
anonymous
  • anonymous
y/9=10.3 ?
amistre64
  • amistre64
i agree
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amistre64
  • amistre64
a slope of 9 gets us to 81, too short, so the 10.3 has to be better
amistre64
  • amistre64
another sort of test, let x = 10 -10.3 + 9(10) < 90 -9 + 10.3(10) > 90
anonymous
  • anonymous
-10.3 + 9(10) < 90
anonymous
  • anonymous
?
amistre64
  • amistre64
what is 90 - 10 ?
amistre64
  • amistre64
notice our point at x=10 is about 95, or greater than 90
anonymous
  • anonymous
f(x) = −10.3 + 9x ?
amistre64
  • amistre64
if thats your pick for an answer, im going to disagree.
amistre64
  • amistre64
we want about 95 when x=10 what is -10.3 + 9(10) ?
anonymous
  • anonymous
its -10.3+9x
amistre64
  • amistre64
you havent answered my question
amistre64
  • amistre64
or, are you saying that is what some answer key gives you? you arent being very clear to me.
anonymous
  • anonymous
im saying that one of the answer choices i thought it was .... sorry
amistre64
  • amistre64
thats what i had thought you meant but wasnt sure. -10.3 + 9(10) = 79.7 |dw:1432953041331:dw|
amistre64
  • amistre64
do you see that we are not very close to where we need to be?
anonymous
  • anonymous
yea
amistre64
  • amistre64
-9 + 10.3(10) = 103-9 = 94
amistre64
  • amistre64
so out of the 2 options f(x) = -9 + 10.3x seems to work better for us
anonymous
  • anonymous
yea it does
amistre64
  • amistre64
good luck :)

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