renee5000 renee5000

01-02-2015
Mathematics

Answered

If x= 0, 1, 2, and 3 and y=1, 1.5, 2, and 2.5, then what is the "y=" function?

Verified Answer :

konrad509 konrad509

01-02-2015

The values are increasing equally so it's a linear function.
The formula is \(y=mx+b\)
For \(x=0\), \(y=1\) so \(b=1\) (y-intercept).
Take some point and put its coordinates into the equation to find \(m\) (slope).
\(2=m\cdot2+1\\ 2m=1\\ m=\dfrac{1}{2}\\\\ \boxed{y=\dfrac{1}{2}x+1}\)

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