The speed of sound traveling through ocean water with salinity 35 parts per thousand has been modeled by the equation below 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). C - 1449.2 + 4.67 - 0.055T2 + 0.0002973 + 0.016D 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. 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. m/s per minute T 20 20 30 40 (min) (min)

College Algebra
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ISBN:9781337282291
Author:Ron Larson
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Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And 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 below 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).
C = 1449.2 + 4.6T – 0.05572 + 0.0002973 + 0.016D
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. 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.
m/s per minute
DA
16
20
14
15
12
10
10
8-
40 ?
(min)
10
20
30
40
10
20
30
(min)
Transcribed Image Text:The speed of sound traveling through ocean water with salinity 35 parts per thousand has been modeled by the equation below 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). C = 1449.2 + 4.6T – 0.05572 + 0.0002973 + 0.016D 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. 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. m/s per minute DA 16 20 14 15 12 10 10 8- 40 ? (min) 10 20 30 40 10 20 30 (min)
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