The scatter plot shows the linear model for Variable A and Variable B.
What is a possible value for Variable B when Variable A is 40?
http://static.k12.com/calms_media/media/1549000_1549500/1549027/1/9cd4eb2f2808e4e91821f803806493dd98013d3f/MS_IMC-141015-1081510.jpg
@Michele_Laino
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OpenStudy (michele_laino):
hint:
your line passes at point (10,20) and (70,80), so what is its equation
OpenStudy (bossimbacon):
(20-80) (10-70)? @Michele_Laino
OpenStudy (bossimbacon):
@robtobey
OpenStudy (michele_laino):
no, I meant this:
\[\large \frac{{y - 20}}{{80 - 20}} = \frac{{x - 10}}{{70 - 10}}\]
please simplify
OpenStudy (bossimbacon):
do i subtract straight across?
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OpenStudy (michele_laino):
hint:
\[\begin{gathered}
y - 20 = x - 10 \hfill \\
y = ...? \hfill \\
\end{gathered} \]
OpenStudy (bossimbacon):
y=-20?
OpenStudy (michele_laino):
we have:
\[\large y = x + 10\]
OpenStudy (michele_laino):
so what do you get if we set x=40?
OpenStudy (bossimbacon):
that would be 40 + 10?
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OpenStudy (michele_laino):
no, we have:
y= 40+10=50, so we get the subsequent point:
(40, 50)
OpenStudy (bossimbacon):
ok
OpenStudy (michele_laino):
that's the possible value of B, namely 50
OpenStudy (bossimbacon):
so the answer is 50?
OpenStudy (michele_laino):
yes!
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