The number N of bacteria in a refrigerated food is given by where T is the temperature of the food in degrees Celsius.When the food is removed from refrigeration, the temperature of the food is given by where t is the time in hours. Find the bacteria count after 0.5 hour.

A)About 565 bacteria
B)About 793 bacteria
C)About 653 bacteria
D)About 390 bacteria
E)About 705 bacteria

Question

The number N of bacteria in a refrigerated food is given by  where T is the temperature of the food in degrees Celsius.When the food is removed from refrigeration, the temperature of the food is given by  where t is the time in hours. Find the bacteria count after 0.5 hour.
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A)About 565 bacteria 
B)About 793 bacteria 
C)About 653 bacteria 
D)About 390 bacteria 
E)About 705 bacteria

Quizplus · Accepted Answer

To find the bacteria count after 0.5 hour, we need to substitute T = 12.5 (as the food is removed from refrigeration, the temperature becomes 12.5 degrees Celsius after 0.5 hour) in the given equation:

N = 11e^(acce6_2174_370d_9f49_43da01fd3577_TB7896_11T)

N = 11e^(acce6_2174_370d_9f49_43da01fd3577_TB7896_11*12.5)

N ≈ 652.88

Rounding off to the nearest integer, we get that the bacteria count after 0.5 hour is about 653.

The Number N of Bacteria in a Refrigerated Food Is