Solve the Problem $15 \mathrm {~m}$ And Ranges from 10 To $20 \mathrm {~m}$

question 354

Multiple Choice

Solve the problem.
-Tides go up and down in a 14.4-hour period. The average depth of a certain river is $15 \mathrm {~m}$ and ranges from 10 to $20 \mathrm {~m}$ . The variation can be approximated by a sine curve. Write an equation that gives the approximate variation $y$ , if $x$ is the number of hours after midnight if high tide occurs at $6 : 00$ am.

• A) \(y = 15 \sin \left( \frac { \pi x } { 7.2 } - \frac { 6 \pi } { 7.2 } \right)\)
• B) \(y = 5 \sin \left( \frac { \pi x } { 7.2 } - \frac { 6 \pi } { 7.2 } \right)\)
• C) \(y = 15 \sin \left( \frac { \pi x } { 7.2 } - 6 \pi \right)\)
• D) \(y = 5 \sin \left( \frac { \pi x } { 7.2 } - \frac { 2.4 \pi } { 7.2 } \right)\)

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