Clearly after looking at the graph of the function H(w) we see that as the graph of the function is a curve such that the behavior of the graph at 0 and infinity is given by:
as w→∞ H(w)→0
Also when w → 0 H(w) → ∞
Hence, According to the graph of H(w) below,when w gets close to zero:
A nickel is worth 5 cents. So if he has 5 nickels extra. They are worth 25 cents. Subtract 0.25 from 4.35 and you get 4.10. Now all you have to do is divide 4.10 by 0.05, which is a nickel. The answer is "Mike thought he had 82 nickels"