Solve the Problem $275 ^ { \circ } \mathrm { F }$

question 118

Multiple Choice

Solve the problem.
-A pie comes out of the oven at $275 ^ { \circ } \mathrm { F }$ and is placed to cool in a $70 ^ { \circ } \mathrm { F }$ kitchen. The temperature of the pie $T$ (in ${ } ^ { \circ } \mathrm { F }$ ) after $t$ minutes is given by $T = 70 + 205 e ^ { - 0.018 t }$ . The pie is cool enough to cut when the temperature reaches $130 ^ { \circ } \mathrm { F }$ . How long will this take? Round to the nearest minute.

• A) 68 minutes
• B) 25 minutes
• C) 56 minutes
• D) 85 minutes

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Definitions:

Openly

In a manner that is not secretive or hidden; conducting actions in a visible and public way, often implying transparency or honesty.

Continuously

Occurring without interruption or cessation; ongoing.

Adverse

Unfavorable or harmful conditions or circumstances that can negatively affect or pose challenges to individuals or entities.

Necessity

A term that can refer to a state of being required or indispensable, or, in legal terms, a defense that asserts an act was done out of a need to prevent a greater harm.