Solve the Problem $\mathrm { n } = 73.92 + 27.7 \sin \frac { \pi \mathrm { t } } { 24 }$

question 135

Multiple Choice

Solve the problem.
-The weekly sales in thousands of items of a product has a seasonal sales record approximated by $\mathrm { n } = 73.92 + 27.7 \sin \frac { \pi \mathrm { t } } { 24 }$ ( $\mathrm { t } =$ time in weeks with $\mathrm { t } = 1$ referring to the first week in the year) . During which week(s) will the sales equal 87,770 items?

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

---

Definitions:

Microfilaments

Thin strands within the cytoskeleton of a cell, primarily composed of the protein actin, and involved in various forms of cell movement and structure.

Nucleus

A membrane-bound organelle found in eukaryotic cells that contains most of the cell's genetic material, directing cell growth, metabolism, and reproduction.

Chromosomes

Structures composed of DNA and protein found in the nucleus of cells, carrying genetic information across generations.

Genes

Units of heredity that carry information from parents to offspring, dictating the development of traits and characteristics.