SOLUTION: john is looking at two different plants. Plant A started at 5 foot tall and is growing at 1 foot per month. Plant B started at 2 feer tall and grows at a rate 3 feet per month. set

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Question 679865: john is looking at two different plants. Plant A started at 5 foot tall and is growing at 1 foot per month. Plant B started at 2 feer tall and grows at a rate 3 feet per month. set up the equations and use the graph to solve ?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Is the problem " when will they be the same height?"
Let +h+ = height of plant
Let +n+ = number of months after John starts measuring
For plant A:
+h+=+5+%2B1%2An+
For plant B:
+h+=+2+%2B+3n+
---------------
The heights are the same when
+5+%2B+n+=+2+%2B+3n+
+2n+=+3+
+n+=+3%2F2+
The heights are equal in 1 and 1/2 months
-------------
check:
For plant A:
+h+=+5+%2B1%2A%283%2F2%29+
+h+=+6.5+ ft
For plant B:
+h+=+2+%2B+3%2A%283%2F2%29+
+h+=+4%2F2+%2B+9%2F2+
+h+=+13%2F2+
+h+=+6.5+ ft
OK