Solve the Problem $\mathrm { T } ( \mathrm { x } ) = 40 \sin \left[ \frac { 2 \pi } { 365 } ( \mathrm { x } - 102 ) \right] + 46$

question 163

Multiple Choice

Solve the problem.
-The temperature in Verlander is modeled by $\mathrm { T } ( \mathrm { x } ) = 40 \sin \left[ \frac { 2 \pi } { 365 } ( \mathrm { x } - 102 ) \right] + 46$ where $\mathrm { T } ( \mathrm { x } )$ is the temperature in degrees Fahrenheit on day $x$ , with $x = 1$ representing January 1 and $x = 365$ representing December 31. Find the temperature on May 20 .

• A) \(83 ^ { \circ } \mathrm { F }\)
• B) \(64 { } ^ { \circ } \mathrm { F }\)
• C) \(72 ^ { \circ } \mathrm { F }\)
• D) \(70 ^ { \circ } \mathrm { F }\)

---

Definitions:

Serious Recession

A drastic downturn in economic activity across the economy that lasts for an extended period, often characterized by significant declines in GDP and other economic indicators.

Bubonic Plague

A highly infectious and often fatal disease caused by the bacterium Yersinia pestis, characterized by fever, delirium, and the formation of buboes, historically responsible for major pandemics.

Production Possibilities Curve

A graph that depicts all maximum output possibilities for two goods, given a set of inputs consisting of resources and other factors.

Government Spending

The total amount of money spent by the government on various services and projects, such as healthcare, education, infrastructure, and defense.