Refrigerated food is kept between -2 degrees Celsius and 14 degrees Celsius. The number of bacteria...
Refrigerated food is kept between -2 degrees Celsius and 14 degrees Celsius. The number of bacteria that would be present in the food can be calculated using the equation: N = 20t2 - 20t + 120, where N = number of bacteria in food and t = temperature in degrees Celsius At what temperature will the number of bacteria be minimal?
Homework Answers
The given equation is equation of upward parabola
since a=coefficient of t^2 which is 20 which is greater than 0.
The minimal of upward parabola is occurred at its vertex.
The formula to find vertex is (-b/ 2a, f(-b/2a)).
Here a=20, b=-20, c=120.
-b/2a=-(-20)/40=1/2.
Vertex=(1/2, f(1/2)).
Vertex =(0.5,115).
At t= 0.5 degree Celsius the bacteria is minimum.
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Refrigerated food is kept between -2 degrees Celsius and 14
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