State the value of 'x' in this equation, and explain why you know this to be true without doing any calculations.
1 answer:
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the complete question in the attached figure
we have
$72 ------------------------------------ > for every television sold
$90 ------------------------------------ > for every computer sold.
let
x--------------------- > numbers of television sold
y--------------------- > numbers of computer sold
then
72x+90y >= $360 ----------- >72x/72+90y/72 >= $360 /72---- >x+1.25y >= $5
y >= (5-x)/1.25--------------see the graph in attached figure
case A---------- > (5,2) (3,3) (1,4)
72x+90y --------- > 72*5+90*2=540 >= 360----- > is solution
72x+90y --------- > 72*3+90*3=486 >= 360----- > is solution
72x+90y --------- > 72*1+90*4=432 >= 360----- > is solution
case B------------ > (4,0) (2,2) (1,1)
72x+90y --------- > 72*4+90*0=288 < 360----- > is not solution
72x+90y --------- > 72*2+90*2=324 < 360----- > is not solution
72x+90y --------- > 72*1+90*1=162 < 360----- > is not solution
case C------------ > (3,1) (2,2) (1,0)
72x+90y --------- > 72*3+90*1=306 < 360----- > is not solution
72x+90y --------- > 72*2+90*2=324 < 360----- > is not solution
72x+90y --------- > 72*1+90*0=72 < 360----- > is not solution
case D------------ > (4,0) (3,3) (1,4)
72x+90y --------- > 72*4+90*0=288 < 360----- > is not solution
72x+90y --------- > 72*3+90*3=486 >= 360----- > is solution
72x+90y --------- > 72*1+90*4=432 >= 360----- > is solution
<span>the answer is case A </span>
