Answer:
• N(c(2))=1700
,
• The number of bacteria in the refrigerated food two hours after it is removed from the refrigerator is 1700.
Explanation:
The number of bacteria, N is given by the function:
[tex]N(c)=20c^2-80c+500[/tex]
When the food is removed, the temperature of the food is governed by:
[tex]c(x)=4x+2[/tex]
To find the composition N(c(2)), first, we evaluate c(2):
[tex]\begin{gathered} c(2)=4(2)+2 \\ =8+2 \\ =10 \end{gathered}[/tex]
Therefore:
[tex]\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}[/tex]
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.
