Solve the Problem A) $y = \frac { 306.53 } { 1 + 7.92 \mathrm { e } ^ { - 0.254 x } } , 307 ^ { \circ } \mathrm { F }$

question 465

Multiple Choice

Solve the problem.
-A mechanic is testing the cooling system of a boat engine. He measures the engine's temperature over time. Use a graphing utility to fit a logistic function to the data. What is the carrying capacity of the cooling system? $\begin{array}{l|lllll}\text { time, min } & 5 & 10 & 15 & 20 & 25 \\\hline \text { temperature, }^{\circ} \mathrm{F} & 100 & 180 & 270 & 300 & 305\end{array}$

• A) \(y = \frac { 306.53 } { 1 + 7.92 \mathrm { e } ^ { - 0.254 x } } , 307 ^ { \circ } \mathrm { F }\)
• B) \(y = \frac { 311.63 } { 1 + 8.1 \mathrm { e } ^ { - 0.253 \mathrm { x } } } , 312 ^ { \circ } \mathrm { F }\)
• C) \(y = \frac { 314.79 } { 1 + 7.86 \mathrm { e } ^ { - 1.22 \mathrm { x } } } , 315 ^ { \circ } \mathrm { F }\)
• D) \(y = \frac { 314.79 } { 1 + 7.86 \mathrm { e } ^ { - 0.246 \mathrm { x } } } , 315 ^ { \circ } \mathrm { F }\)

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Definitions:

Somatic Symptoms

Physical symptoms that are caused by psychological factors, often manifesting without any identifiable physical cause.

Emotional Needs

Fundamental psychological requirements for well-being and happiness, including love, acceptance, and understanding.

Anger

A strong feeling of annoyance, displeasure, or hostility triggered by what one perceives as wrongdoing, injustice, or frustration.

Somatic System Disorder

A mental disorder presenting physical symptoms that suggest illness or injury, but which cannot be fully explained by a medical condition.