Question 649981


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*W+n}}} where {{{m}}} is a slope and {{{n}}} is {{{P-intercept}}}

if {{{W=0}}}...=>..{{{25=m*0+n}}}...=> {{{n=25}}}....=>{{{P-intercept}}} 

if {{{W=1}}}...=>..{{{28=m*1+25}}}...=> {{{28-25=m*1}}}....=>{{{3=m}}}

so, your linear equation will be {{{P=3W+25}}}

now check if it works for other pairs from the given table

{{{P=3W+25}}}...=>..{{{43=3*7+25}}}...=>{{{43=21+25}}} =>{{{43=46}}}

{{{P=3W+25}}}...=>..{{{35=3*5+25}}}...=>{{{35=15+25}}} =>{{{35=40}}}

as you can see, it does NOT works for these pairs; so, it is {{{not}}} a linear function