SOLUTION: At midnight the water at a particular beach is at high tide. At the same time a gauge at the end of a pier reads 10 feet. Low tide is reached at 6 AM when the gauge reads 4ft. 1

Algebra ->  Finance -> SOLUTION: At midnight the water at a particular beach is at high tide. At the same time a gauge at the end of a pier reads 10 feet. Low tide is reached at 6 AM when the gauge reads 4ft. 1      Log On


   

Question 891850: At midnight the water at a particular beach is at high tide. At the same time a gauge at the end of a pier reads 10 feet. Low tide is reached at 6 AM when the gauge reads 4ft.
1) Write the equation that models this situation.
2) Write the equation that models this situation.

thank you
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +h+ = the height of the water in feet
Let +t+ = the time in hours
-----------------
You are given the point ( 12,10 ), which is midniight, 10 ft
and also the point ( 6, 4 ) which is 6 AM, 4 ft
Use the general point-slope formula
+%28+h+-+4+%29+%2F+%28+t+-+6+%29+=+%28+10+-+4+%29+%2F+%28+12+-+6+%29+
+%28+h+-+4+%29+%2F+%28+t+-+6+%29+=+6+%2F+6+
+h+-+4+=+t+-+6+
+h+=+t+-+2+
---------------
check:
If the time were 7AM,
+h+=+7+-+2+
+h+=+5+
OK, I think