SOLUTION: in a lab experiment 12 grams of acid were produced in 27 minutes and 20 grams in 50 minutes. find a linear equation that models the number of grams produced in x minutes.

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: in a lab experiment 12 grams of acid were produced in 27 minutes and 20 grams in 50 minutes. find a linear equation that models the number of grams produced in x minutes.      Log On


   

Question 760366: in a lab experiment 12 grams of acid were produced in 27 minutes and 20 grams in 50 minutes. find a linear equation that models the number of grams produced in x minutes.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +y+ = number of grams of
acid produced in +x+ min
-------------------------
Plot time on the horizontal axis
Plot grams of acid on the vertical axis
-------------------------
You are given the 2 ( x,y ) points
( 27, 12 ) and
( 50, 20 )
------------
Use the general point-slope formula
+%28+y+-+12+%29+%2F+%28+x+-+27+%29+=+%28+20+-+12+%29+%2F+%28+50+-+27+%29+
+%28+y+-+12+%29+%2F+%28+x+-+27+%29+=+8+%2F+23+
Multiply both sides by +23%2A%28+x+-+27+%29+
+23%2A%28+y+-+12+%29+=+8%2A%28+x+-+27+%29+
+23y+-+276+=+8x+-+216+
+23y+=+8x+%2B+60+
+y+=+%28+8%2F23%29%2Ax+%2B+60%2F23+
check:
Does it go through
( 27, 12 ) and
( 50, 20 ) ?
+12+=+%28+8%2F23%29%2A27+%2B+60%2F23+
+12+=+216%2F23+%2B+60%2F23+
+12+=+276+%2F+23+
+12+=+12+
OK
You can check other point