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?

- anonymous

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- amistre64

and our functions are? if you can post a screenshot it may prove useful

- amistre64

also, define for us what is meant by "best".

- anonymous

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## More answers

- anonymous

f(x) = 9 − 10.3x
f(x) = −10.3 + 9x
f(x) = −9 + 10.3x
f(x) = 10.3 − 9x

- amistre64

ok, is the slope going to be positive or negative?

- anonymous

positive

- amistre64

then we can rule out 2 options at the start

- anonymous

wait no the first & last one

- amistre64

we want to keep b and c

- amistre64

so, how do we define a reasonable slope? any ideas?

- 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

y/9=10.3 ?

- amistre64

i agree

##### 1 Attachment

- amistre64

a slope of 9 gets us to 81, too short, so the 10.3 has to be better

- amistre64

another sort of test, let x = 10
-10.3 + 9(10) < 90
-9 + 10.3(10) > 90

- anonymous

-10.3 + 9(10) < 90

- anonymous

?

- amistre64

what is 90 - 10 ?

- amistre64

notice our point at x=10 is about 95, or greater than 90

- anonymous

f(x) = −10.3 + 9x ?

- amistre64

if thats your pick for an answer, im going to disagree.

- amistre64

we want about 95 when x=10
what is -10.3 + 9(10) ?

- anonymous

its -10.3+9x

- amistre64

you havent answered my question

- amistre64

or, are you saying that is what some answer key gives you? you arent being very clear to me.

- anonymous

im saying that one of the answer choices i thought it was .... sorry

- amistre64

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

- amistre64

do you see that we are not very close to where we need to be?

- anonymous

yea

- amistre64

-9 + 10.3(10) = 103-9 = 94

- amistre64

so out of the 2 options
f(x) = -9 + 10.3x seems to work better for us

- anonymous

yea it does

- amistre64

good luck :)

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