67. The depth of a diver is directly proportional to the time since the diver entered the water. If it took the diver 45 minutes to reach a depth of 80 feet, find the time it will take to reach a depth of 200 feet.

67. The depth of a diver is directly proportional to the time since the diver entered the water. If it took the diver 45 minutes to reach a depth of 80 feet, find the time it will take to reach a depth of 200 feet.

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter2: Functions And Graphs

Section2.3: Linear Functions And Slope

Problem 106E

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Question

67. The depth of a diver is directly proportional
to the time since the diver entered the water.
If it took the diver 45 minutes to reach a
depth of 80 feet, find the time it will take to
reach a depth of 200 feet.
© Gina Wilson (All Things Algebra®, LLC), 2016

Expert Solution

Step 1

Here, given that the depth(d) of a driver is directly proportional to the time(T) since the driver entered the water. So,

$d α T \Rightarrow d = k T . . . (1)$

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