The speed of sound traveling through ocean water with salinity 35 parts per thousand has been modeled by the equation C = 1,449.2 + 4.67 -0.05572 +0.000297³ + 0.016D, where C is the speed of sound (in meters per second), T is the temperature (in degrees Celsius), and D is the depth below the ocean surface (in meters). A scuba diver began a leisurely dive into the ocean water; the diver's depth and the surrounding water temperature over time are recorded in the following graphs. TA DA 16- 14- 12 10- 8 20 1 40 30 10 20 30 40 (min) (min) Depth Water temperature Q Q Estimate the rate of change (with respect to time) of the speed of sound through the ocean water experienced by the diver 20 minutes into the dive. (Round your answer to two decimal places.) m/s per minute 20 15 10 5 10

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter12: Quadratic Functions
Section12.8: Joint And Combined Variation
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The speed of sound traveling through ocean water with salinity 35 parts per thousand has been modeled by the equation
C = 1,449.2 + 4.67 -0.05572 +0.000297³ + 0.016D,
where C is the speed of sound (in meters per second), T is the temperature (in degrees Celsius), and D is the depth below the ocean surface (in meters).
A scuba diver began a leisurely dive into the ocean water; the diver's depth and the surrounding water temperature over time are recorded in the following graphs.
TA
DA
20
30 40
(min)
10 20 30 40
Water temperature
Depth
Q
Estimate the rate of change (with respect to time) of the speed of sound through the ocean water experienced by the diver 20 minutes into the dive. (Round your answer to two decimal places.)
m/s per minute
20
15
10
10
16
14-
12-
10-
(min)
Transcribed Image Text:The speed of sound traveling through ocean water with salinity 35 parts per thousand has been modeled by the equation C = 1,449.2 + 4.67 -0.05572 +0.000297³ + 0.016D, where C is the speed of sound (in meters per second), T is the temperature (in degrees Celsius), and D is the depth below the ocean surface (in meters). A scuba diver began a leisurely dive into the ocean water; the diver's depth and the surrounding water temperature over time are recorded in the following graphs. TA DA 20 30 40 (min) 10 20 30 40 Water temperature Depth Q Estimate the rate of change (with respect to time) of the speed of sound through the ocean water experienced by the diver 20 minutes into the dive. (Round your answer to two decimal places.) m/s per minute 20 15 10 10 16 14- 12- 10- (min)
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