Answer:
[tex]n(t) = 400 + 40 t[/tex]
Step-by-step explanation:
Given
[tex]a = 400[/tex] --- initial
[tex]r = 40[/tex] --- rate
Required
Write in mathematical notation
Using mathematical notation,in terms of n.
The given parameters can be rewritten as
[tex]n(0) = a[/tex]
[tex]n(0) = 400[/tex]
and
[tex]\frac{dn}{dt} = r[/tex]
[tex]\frac{dn}{dt} = 40[/tex]
The mathematical notation can be determined using:
[tex]n(t) = n(0) + \frac{dn}{dt} * t[/tex]
So, we have:
[tex]n(t) = 400 + 40 * t[/tex]
[tex]n(t) = 400 + 40 t[/tex]