SOLUTION: After diving 97 meters below sea level, a diver rises at a rate of 5 meters per minute for 10 minutes. Where is the diver in relation to the surface?

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Question 844576: After diving 97 meters below sea level, a diver rises at a rate of 5 meters per minute for 10 minutes. Where is the diver in relation to the surface?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Call the surface +y+=+0+
Call +97+ m below the surface +y+=+-97+
and +t+=+0+ where +t+ is time in minutes
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Plot +y+ on the vertical axis
Plot +t+ on the horizontal axis
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The rate of change of the diver's depth is
a positive +5+ m/min
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The linear equation for the diver is:
+y+=+5t+-+97+
Notice that when +t=0+, +y+=+-97+
as it should
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When +t+=+10+ min
+y+=+5%2A10+-+97+
+y+=+50+-+97+
+y+=+-47+
The diver is 47 m below the surface