SOLUTION: A submarine that is 7500 meters below sea level surfaces at a rate of 80 meters per minute. The depth of the submarine after M minutes is given by d(m) = -7500 + 80m Give the range

Algebra ->  Graphs -> SOLUTION: A submarine that is 7500 meters below sea level surfaces at a rate of 80 meters per minute. The depth of the submarine after M minutes is given by d(m) = -7500 + 80m Give the range      Log On


   



Question 736049: A submarine that is 7500 meters below sea level surfaces at a rate of 80 meters per minute. The depth of the submarine after M minutes is given by d(m) = -7500 + 80m Give the range and domain of this function make a table for this function
and graph

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The depth of the submarine after M minutes is given by +d%28m%29+=+-7500+%2B+80m+
The limitations here are that +d%28m%29+ starts out at +d%280%29+=+-7500+ m and
rises, but , since it's a submarine, it can't go any higher than +d%28m%29+=+0+. That
would put it above the water's surface.
----------------
Also the equation is set up for +d%280%29+=+-7500+%2B+80%2A0+. Since the minutes can't
be less that +m+=+0+, +-7500+ is the lowest depth that the equation can habndle
-----------------
Now I can chart these 2 positions, +d%28m%29+=+-7500+, and +d%28m%29+=+0+
(1)
+d%28m%29+=+-7500+ meters
+d%280%29+=+-7500+%2B+80%2A0+
+m+=+0+ minutes
------------
(2)
+d%28m%29+=+0+ meters
+0+=+-7500+%2B+80m+
+80m+=+7500+
+m+=+93.75+ minutes
-----------------
So, the range is +-7500+ to +0+ meters
The domain is +0+ to +93.75+ minutes
--------------------------------------
Here's the plot:
+graph%28+400%2C+400%2C+-20%2C+120%2C+-8000%2C+200%2C+80x+-+7500+%29+