SOLUTION: An auto maker produces 8000 trucks per day and 12000 cars. how many trucks can they make if they make only trucks and no cars- on a graph- y=8000 and x=12000 and y intercept is 600

Algebra ->  Graphs -> SOLUTION: An auto maker produces 8000 trucks per day and 12000 cars. how many trucks can they make if they make only trucks and no cars- on a graph- y=8000 and x=12000 and y intercept is 600      Log On


   

Question 988915: An auto maker produces 8000 trucks per day and 12000 cars. how many trucks can they make if they make only trucks and no cars- on a graph- y=8000 and x=12000 and y intercept is 6000
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
They are giving you a slope for the graph
of +t+=+f%28+c+%29+
slope = [ change in t ] / [ change in c ] for the points:
( 0, 6000 ) and ( 12000, 8000 )
------------------------------
Use the general point-slope formula:
+%28+t+-+6000+%29+%2F+%28+c+-+0+%29+=+%28+8000+-+6000+%29+%2F+%28+12000+-+0+%29+
+%28+t+-+6000+%29+%2F+c+=+2000+%2F+12000++
+%28+t+-+6000+%29+%2F+c+=+1%2F6+
+t+-+6000+=+%28+1%2F6%29%2Ac+
+t+=+%28+1%2F6+%29%2Ac+%2B+6000+
-------------------------
If they make only trucks, then +c=0+ and
+t+=+6000+
----------------
check:
Does it go through the point ( 12000, 8000 )?
+t+=+%28+1%2F6+%29%2Ac+%2B+6000+
+8000+=+%281%2F6%29%2A12000+%2B+6000+
+8000+=+2000+%2B+6000+
+8000+=+8000+
OK