The number of bacteria in a refrigerated food product is given by N(T) = 20T² – 93T + 76, 4 < T < 34 where T is the temperature of the food. When the food is removed from the refrigerator, the temperature is given by T(t) = 5t + 1.3 , where t is the time in hours. Find the composite function N(T(t)): N(T(t)) = Find the time when the bacteria count reaches 16767 Time Needed %3D

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: