Question

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.

Answer 1

`n(t) = 400 + 40 t`

Explanation:

Given

`a = 400` --- initial

`r = 40` --- rate

Required

Write in mathematical notation

Using mathematical notation,in terms of n.

The given parameters can be rewritten as

`n(0) = a`

`n(0) = 400`

and

`(dn)/(dt) = r`

`(dn)/(dt) = 40`

The mathematical notation can be determined using:

`n(t) = n(0) + (dn)/(dt) * t`

So, we have:

`n(t) = 400 + 40 * t`

`n(t) = 400 + 40 t`