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OpenStudy (anonymous):
A picture is enlarged by keeping its width the same and increasing its length. The scatter plot below shows the perimeter of the picture (y) for different lengths (x):
OpenStudy (anonymous):
Which function best represents the data in the scatter plot?
y = 2x − 20
y = 2x + 20
y = x − 20
y = x + 20
OpenStudy (anonymous):
I know is B or D. Leaning more towards B.
OpenStudy (anonymous):
take (20,60) and (50,120)
OpenStudy (anonymous):
Okay, hold up.
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OpenStudy (anonymous):
120 - 60
---------
50 - 20
OpenStudy (anonymous):
So your gradient is 2.
OpenStudy (anonymous):
60
--- = 2
30
OpenStudy (anonymous):
Yes.
OpenStudy (anonymous):
y=2x+c
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OpenStudy (anonymous):
And, since it is a positive slope it must be, B y = 2x + 20
OpenStudy (anonymous):
now set y=60 and x=20 to find c
OpenStudy (anonymous):
no not neccessary, the +20 or -20 is the y intercept.
OpenStudy (anonymous):
negative slope is when you have a negative mx
OpenStudy (anonymous):
Ok, so, what do I do for Step 2?
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OpenStudy (anonymous):
@saseal ?
OpenStudy (anonymous):
so after you set the value you should get 60=2(20)+c. solve for c.
OpenStudy (anonymous):
So your answer should be 20. Therefore, answer is y=2x+20.