SOLUTION: a faucet is used to add water to a large bottle that already contained some water. After it had been filling for 4 seconds, the gauge on the bottle indicates that it contains 10 ou

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: a faucet is used to add water to a large bottle that already contained some water. After it had been filling for 4 seconds, the gauge on the bottle indicates that it contains 10 ou      Log On


   

Question 1053919: a faucet is used to add water to a large bottle that already contained some water. After it had been filling for 4 seconds, the gauge on the bottle indicates that it contains 10 ounces of water. After 11 seconds of filling, the gauge reads 24 ounces of water. Let y be the amount of water in the bottle x seconds after the water was turned on. write a linear equation.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
You are given 2 points on the straight line
that tells you the ounces of water in the bottle
at any time +x+ after water was turned on
in seconds
-----------------------------------------
The given points, ( x,y ), are:
( 4, 10 )
( 11, 24 )
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You can use the general point-slope formula:
+%28+y+-+10+%29+%2F+%28+x+-+4+%29+=+%28+24+-+10+%29+%2F+%28+11+-+4+%29+
+%28+y+-+10+%29+%2F+%28+x+-+4+%29+=+14%2F7+
+%28+y+-+10+%29+%2F+%28+x+-+4+%29+=+2+
+y+-+10+=+2%2A%28+x+-+4+%29+
+y+-+10+=+2x+-+8+
+y+=+2x+%2B+2+
----------------------
check:
does it go through ( 4,10 )?
+10+=+2%2A4+%2B+2+
+10+=+10+
OK
does it go through ( 11,24 ) ?
+24+=+2%2A11+%2B+2+
+24+=+24+
OK
Note that when +x=0+ ( started filling ), the
bottle already had +2+ ounces in it