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

question 108

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 $11 \mathrm {~m}$ and ranges from 6 to $16 \mathrm {~m}$ . The variation can be approximated by a sine curve. Write an equation that gives the approximate variation $\mathrm { y }$ , if $\mathrm { x }$ is the number of hours after midnight and high tide occurs at 8:00 am.

• A) \(y = 11 \sin \left( \frac { \pi x } { 6.6 } - 8 \pi \right)\)
• B) \(y = 5 \sin \left( \frac { \pi x } { 6.6 } - \frac { 4.7 \pi } { 6.6 } \right)\)
• C) \(y = 11 \sin \left( \frac { \pi x } { 6.6 } - \frac { 8 \pi } { 6.6 } \right)\)
• D) \(y = 5 \sin \left( \frac { \pi x } { 6.6 } - \frac { 8 \pi } { 6.6 } \right)\)

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