Solve the Problem $12.8$ -Hour Period $8 \mathrm {~m}$ And Ranges from 5 To

question 59

Multiple Choice

Solve the problem.
-Tides go up and down in a $12.8$ -hour period. The average depth of a certain river is $8 \mathrm {~m}$ and ranges from 5 to $11 \mathrm {~m}$ . 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 and high tide occurs at 10:00 am.

• A) \(y = 3 \sin \left( \frac { \pi x } { 6.4 } - \frac { 6.8 \pi } { 6.4 } \right) + 8\)
• B) \(\mathrm { y } = 8 \sin \left( \frac { \pi x } { 6.4 } - 10 \pi \right) + 3\)
• C) \(y = 3 \sin \left( \frac { \pi x } { 6.4 } - \frac { 10 \pi } { 6.4 } \right) + 8\)
• D) \(y = 8 \sin \left( \frac { \pi x } { 6.4 } - \frac { 10 \pi } { 6.4 } \right) + 3\)

---

Definitions:

Working Capital

The difference between a company's current assets and current liabilities, indicating the short-term liquidity and operational efficiency.

Executive Pay

Compensation that includes salaries, bonuses, stocks, and other financial benefits provided to top-level management and executives.

Expense Account

An account used to track expenditures made by employees for business operations that are later reimbursed by the employer.

Executive Travel

Business travel undertaken by a company's executives or senior managers for purposes such as meetings, conferences, and corporate events.