Solve the Problem $\mathrm { n } = 71.69 + 18.3 \sin \frac { \pi \mathrm { t } } { 24 }$

question 457

Multiple Choice

Solve the problem.
-The weekly sales in thousands of items of a product has a seasonal sales record approximated by $\mathrm { n } = 71.69 + 18.3 \sin \frac { \pi \mathrm { t } } { 24 }$ ( $\mathrm { t }$ is time in weeks with $\mathrm { t } = 1$ referring to the first week in the year) . During which week(s) will the sales equal 80,840 items?

• A) week 4 , week 20 , and week 52
• B) week 21 and week 30
• C) week 30 and week 47
• D) week 4 and week 47

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Definitions:

Trend

A general direction in which something is developing or changing, observed in data over time.

Annual Time-series

A sequence of data points representing the value of a variable over a series of years.

Sequential Order

The arrangement of objects, events, or values in a specific sequence where the order is significant.

Dependent Variable

The variable in an experiment that is observed and measured to see how it is affected by the independent variable.