Question

The total number of inches R(t) of rain during a storm of length t hours can be approximated by R(t) = at t + b , where a and b are positive constants that depend on the geographical locale. (a) Discuss the variation of R(t) as t → ∞.

Answer 1

If we divide the numerator and denominator by t we get

a
---------
1 + b/t

AS t approaches infinity b/t approaches zero

so R(t) = total inches of rain approaches the costant a.