Question

The number of bacteria in a refrigerated food product is given by n(t)=24t^2 - 91t + 38, where t is the temperature of the food. When the food is removed from the refrigerator, the temperature is given by t(t)=9t^1.3. Where t is the time in hours. Find the number of bacteria after 3.4 hours. A. 255 B. 301 C. 345 D. 392

Answer 1

To find the number of bacteria after 3.4 hours, substitute t = 3.4 into the given equation n(t) = 24t^2 - 91t + 38. However, when calculating n(3.4), we find a negative value which is not possible for the number of bacteria. Therefore, none of the given options A, B, C, or D are correct.

Step-by-step explanation:

To find the number of bacteria after 3.4 hours, we need to substitute t = 3.4 into the given equation n(t) = 24t^2 - 91t + 38.

By plugging in the value of t, we get:

n(3.4) = 24(3.4)^2 - 91(3.4) + 38 = 24(11.56) - 91(3.4) + 38

Calculating the expression gives us:

n(3.4) = 264.24 - 309.4 + 38 = -7.16

Since the number of bacteria cannot be negative, we can conclude that there is an error in the given equation. Therefore, there is no correct option among A, B, C, or D.

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