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) \(y = 5 \sin \left( \frac { \pi x } { 7.2 } - \frac { 2.4 \pi } { 7.2 } \right)\)

---

Definitions:

Decline

A gradual decrease in quality, quantity, or importance.

Purposes

The reasons for which something is done or created or for which something exists.

United States

A country located in North America, consisting of 50 states, and known for its significant influence on world politics, economy, and culture.

Witness

An individual who observes an event taking place, especially one who can give a first-hand account of it, often legally.