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Solve the Problem 13 m13 \mathrm {~m} And Ranges from 8 To 18 m18 \mathrm {~m}

Question 223

Multiple Choice

Solve the problem.
-Tides go up and down in a 14.8-hour period. The average depth of a certain river is 13 m13 \mathrm {~m} and ranges from 8 to 18 m18 \mathrm {~m} . The variation can be approximated by a sine curve. Write an equation that gives the approximate variation yy , if xx is the number of hours after midnight and high tide occurs at 10:00 am.


A) y=13sin(πx7.410π7.4) y = 13 \sin \left( \frac { \pi x } { 7.4 } - \frac { 10 \pi } { 7.4 } \right)
B) y=13sin(πx7.410π) \mathrm { y } = 13 \sin \left( \frac { \pi \mathrm { x } } { 7.4 } - 10 \pi \right)
C) y=5sin(πx7.410π7.4) \mathrm { y } = 5 \sin \left( \frac { \pi \mathrm { x } } { 7.4 } - \frac { 10 \pi } { 7.4 } \right)
D) y=5sin(πx7.46.3π7.4) y = 5 \sin \left( \frac { \pi x } { 7.4 } - \frac { 6.3 \pi } { 7.4 } \right)

Correct Answer:

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