Solve the Problem $$T ( x ) = 37 \sin \left[ \frac { 2 \pi } { 365 } ( x - 101 ) \right] + 25$$

question 217

Multiple Choice

Solve the problem.
-The temperature in Fairbanks is approximated by
$$T ( x ) = 37 \sin \left[ \frac { 2 \pi } { 365 } ( x - 101 ) \right] + 25$$
where $\mathrm { T } ( \mathrm { x } )$ is the temperature on day $\mathrm { x }$ , with $\mathrm { x } = 1$ corresponding to Jan. 1 and $\mathrm { x } = 365$ corresponding to Dec. 31. Estimate the temperature on day 230 .

• A) \(54 ^ { \circ }\)
• B) \(- 25 ^ { \circ }\)
• C) \(284 ^ { \circ }\)
• D) \(29 ^ { \circ }\)

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