Question

Do you know how to do this plus a explanation?

Answer 1

• N(c(2))=1700

,

• The number of bacteria in the refrigerated food two hours after it is removed from the refrigerator is 1700.

Step-by-step explanation:

The number of bacteria, N is given by the function:

`N(c)=20c^2-80c+500`

When the food is removed, the temperature of the food is governed by:

`c(x)=4x+2`

To find the composition N(c(2)), first, we evaluate c(2):

`\begin{gathered} c(2)=4(2)+2 \\ =8+2 \\ =10 \end{gathered}`

Therefore:

`\begin{gathered} N(c)=20c^2-80c+500 \\ N(c(2))=20(10)^2-80(10)+500 \\ =20(100)-800+500 \\ =2000-800+500 \\ N(c(2))=1700 \end{gathered}`

The meaning of this in context is given below:

The number of bacteria two hours after the food is removed from the refrigerator is 1700.