Question 204000
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Let Profit,p = <font color=blue>x</font> . *note: values  = {{{1x10^3}}}


Also, let years,t = <font color=blue>y</font>


Given: {{{system(x[1]=12,x[2]=22,y[1]=1,y[2]=3)}}}}
Via Point Slope Form,
{{{m=(y[2]-y[1])/(x[2]-x[1])=(3-1)/(22-12)=2/10=1/5}}}


Via Slope-Intercept Form, {{{y=mx+b}}}
Thru point ({{{x[1]}}},{{{y[1]}}})=(12,1)
{{{1=(1/5)(12)+b}}}
{{{b=1-12/5=(5-12)/5=-7/5}}}
Also, thru point (22,3)
{{{3=(1/5)(22)+b}}}
{{{b=3-22/5=(15-22)/5=-7/5}}}


Then, it follows ---> {{{y=(1/5)x-7/5}}}


When, t=y= 5 years,
{{{5=(1/5)x-7/5}}}
{{{5+7/5=(1/5)x}}} ---> {{{(25+7)/5=(1/5)x}}}
{{{32/cross(5)=(1/cross(5))x}}}
{{{highlight(red(x=32x10^3))}}}, (Answer)


{{{drawing(400,400,-5,37,-5,10,grid(1),graph(400,400,-5,37,-5,10,(1/5)x-7/5),blue(circle(12,1,.35)),blue(circle(22,3,.35)),green(line(32,0,32,5)),green(line(32,5,0,5)),red(locate(15,-1,Profit=1x10^3)),red(locate(1,9,Years)),green(locate(32,.9,32000)),green(arrow(14,2.5,16,2)),green(locate(10,4,y=(1/5)x-7/5)))}}}


Thank you,
Jojo</font>