Question

The number of members in an organization since the year 2000 can be represented by the function below where x represents the number of years after 2000 m(x) = x^2 + 42x + 5, which statement best describes the term 5

Answer 1

Given:

The number of members in an organization since the year 2000 can be represented by the function

$m(x)=x^2+42x+5$

where,  x represents the number of years after 2000.

To find:

The statement  which best describes the term 5.

Solution:

We have,

$m(x)=x^2+42x+5$

It is clear that 5 is a constant because it is free from variable x.

At x=0,

$m(0)=(0)^2+42(0)+5$

$m(0)=5$

It means, 5 is the initial number of members in the organization.

Therefore, there are 5 members in the organization in year 2000.