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:

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A diagram using overlapping circles to illustrate the logical relationships between sets or groups and their respective elements.

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A perspective or belief that adheres to long-established practices or interpretations.

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The measure of whether a deductive argument is logically sound, where the conclusion necessarily follows from the premises.

Traditional View

The traditional view often refers to the long-established or conventional perspective on a subject.