SOLUTION: A treasure hunting team of divers is placed in a computer controlled diving cage. The equation d= 40/3t - 2/9t squared describes the depth d ( in feet) that the cage will descend i

Question 159848: A treasure hunting team of divers is placed in a computer controlled diving cage. The equation d= 40/3t - 2/9t squared describes the depth d ( in feet) that the cage will descend in t minutes.
A) sketch the graph of the equation d = 40/3t - 2/9t squared.
B) What part of the graph represents the physical aspects of the problem?
C) What is the total time of the entire diving experiment?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A treasure hunting team of divers is placed in a computer controlled diving cage.
The equation d = 40/3t - 2/9t squared describes the depth d (in feet) that the
cage will descend in t minutes.
:
A) sketch the graph of the equation d = 40/3t - 2/9t squared.
:
d = y axis; t = x axis: graph equation: y = -(2/9)x^2 + (40/3)x
:
Plot the graph for x=0 to x = 60 (10 min intervals), should look like this:

:
B) What part of the graph represents the physical aspects of the problem?
:
Only the positive values for x & y
:
C) What is the total time of the entire diving experiment?
60 min as you can see on the graph
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