Given:
The number of members in an organization since the year 2000 can be represented by the function
[tex]m(x)=x^2+42x+5[/tex]
where, x represents the number of years after 2000.
To find:
The statement which best describes the term 5.
Solution:
We have,
[tex]m(x)=x^2+42x+5[/tex]
It is clear that 5 is a constant because it is free from variable x.
At x=0,
[tex]m(0)=(0)^2+42(0)+5[/tex]
[tex]m(0)=5[/tex]
It means, 5 is the initial number of members in the organization.
Therefore, there are 5 members in the organization in year 2000.