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Graph the Function Over a One-Period Interval 11 m11 \mathrm {~m} And Ranges from 6 To

Question 237

Multiple Choice

Graph the function over a one-period interval.
-Tides go up and down in a 13.2-hour period. The average depth of a certain river is 11 m11 \mathrm {~m} and ranges from 6 to 16 m16 \mathrm {~m} . The variation can be approximated by a sine curve. Write an equation that gives the approximate variation y\mathrm { y } , if x\mathrm { x } is the number of hours after midnight and high tide occurs at 8:00 am.


A) y=11sin(πx6.68π) y = 11 \sin \left( \frac { \pi x } { 6.6 } - 8 \pi \right)
B) y=5sin(πx6.64.7π6.6) y = 5 \sin \left( \frac { \pi x } { 6.6 } - \frac { 4.7 \pi } { 6.6 } \right)
C) y=11sin(πx6.68π6.6) y = 11 \sin \left( \frac { \pi x } { 6.6 } - \frac { 8 \pi } { 6.6 } \right)
D) y=5sin(πx6.68π6.6) y = 5 \sin \left( \frac { \pi x } { 6.6 } - \frac { 8 \pi } { 6.6 } \right)

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