Carrie, marine biologist is performing experiments along the continental slope off of the coast of California where the biodiversity is very dynamic. Earlier scientists have found that the speed of ocean current as a function of depth. The speed, S, depends on depth, d, according to the following formula. S(d) = 3d +1 %3D Where S is measured in meters per second and d is measured in meters! Suppose that the depth of a research robot depends on time, t, according to the formula: d(t)=(1/27)t² Use function composition to write the speed of the current at the depth of the robot as a function of time. Give a simplified expression. What is the speed of the current at the depth of the robot after 9 seconds? Round your answer, if necessary, to the nearest integer. Blank # 1 Blank # 2

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter6: Systems Of Linear Equations And Inequalities
Section6.1: Graphing Systems Of Equations
Problem 57PFA
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Carrie, marine biologist is performing experiments along the continental slope off of the coast of California
where the biodiversity is very dynamic. Earlier scientists have found that the speed of ocean current as a
function of depth. The speed, S, depends on depth, d, according to the following formula.
S(d) = 3d +1
%3D
Where S is measured in meters per second and d is measured in meters!
Suppose that the depth of a research robot depends on time, t, according to the formula:
d(t)=(1/27)t²
Use function composition to write the speed of the current at the depth of the robot as a function of time.
Give a simplified expression.
What is the speed of the current at the depth of the robot after 9 seconds? Round your answer, if necessary, to
the nearest integer.
Blank # 1
Blank # 2
Transcribed Image Text:Carrie, marine biologist is performing experiments along the continental slope off of the coast of California where the biodiversity is very dynamic. Earlier scientists have found that the speed of ocean current as a function of depth. The speed, S, depends on depth, d, according to the following formula. S(d) = 3d +1 %3D Where S is measured in meters per second and d is measured in meters! Suppose that the depth of a research robot depends on time, t, according to the formula: d(t)=(1/27)t² Use function composition to write the speed of the current at the depth of the robot as a function of time. Give a simplified expression. What is the speed of the current at the depth of the robot after 9 seconds? Round your answer, if necessary, to the nearest integer. Blank # 1 Blank # 2
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