Re-write the statement in mathematical notation. (Let n be the number of cases of Bangkok flu and t be time). There are currently 400 cases of Bangkok flu, and the number is growing by 40 new cases every month.

Respuesta :

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]