SOLUTION: THis table shows P as a function of W . is it linear function? Explain .Include in your explanation at least two rates of change |w | 0 |1 |5 |7 |p |25|28|35|43

Algebra ->  Linear-equations -> SOLUTION: THis table shows P as a function of W . is it linear function? Explain .Include in your explanation at least two rates of change |w | 0 |1 |5 |7 |p |25|28|35|43      Log On


   



Question 649981: THis table shows P as a function of W . is it linear function? Explain .Include in your explanation at least two rates of change
|w | 0 |1 |5 |7
|p |25|28|35|43

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

P as a function of W . is it linear function? Explain .Include in your explanation at least two rates of change
|w | 0 |1 |5 |7
|p |25|28|35|43
in this case, a slope-intercept form of a linear function would be P=m%2AW%2Bn where m is a slope and n is P-intercept
if W=0...=>..25=m%2A0%2Bn...=> n=25....=>P-intercept
if W=1...=>..28=m%2A1%2B25...=> 28-25=m%2A1....=>3=m
so, your linear equation will be P=3W%2B25
now check if it works for other pairs from the given table
P=3W%2B25...=>..43=3%2A7%2B25...=>43=21%2B25 =>43=46
P=3W%2B25...=>..35=3%2A5%2B25...=>35=15%2B25 =>35=40
as you can see, it does NOT works for these pairs; so, it is not a linear function