Solve the Problem $\mathrm { U } = \mathrm { T } + \left( \mathrm { U } _ { \mathrm { O } } - \mathrm { T } \right) \mathrm { e } ^ { \mathrm { kt } }$

question 144

Multiple Choice

Solve the problem.
-A thermometer reading 84°F is placed inside a cold storage room with a constant temperature of 38°F. If the thermometer reads 77°F in 11 minutes, how long before it reaches 56°F? Assume the cooling follows Newton's Law
Of Cooling: $\mathrm { U } = \mathrm { T } + \left( \mathrm { U } _ { \mathrm { O } } - \mathrm { T } \right) \mathrm { e } ^ { \mathrm { kt } }$ (Round your answer to the nearest whole minute.)

• A) -20 minutes
• B) 22 minutes
• C) 4 minutes
• D) 63 minutes

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Definitions:

Square Feet

A unit of area measurement equal to a square that measures one foot on each side, commonly used in the United States.

Spending Variance

is the difference between the actual amount spent on materials, labor, or overhead and the budgeted amount for these items.

Fixed Cost

An expense that remains constant, irrespective of the volume of products or services manufactured or traded.

Variable Cost

Costs that vary directly with the level of production or output.