Question

The number of deaths among members of the U.S. Navy in the first 3 months of the 1918 influenza epidemic can be modeled as N(t) = 3,016 1 + 119.25e−1.024t deaths where t is the number of weeks since the start of the epidemic, based on data for weeks 0 ≤ t ≤ 13.† (a) Numerically estimate, to the nearest integer, the end behavior for N as t increases without bound. Show the numerical estimation table starting at t = 4 and incrementing by adding 5. t → ∞ N(t) 4 9 14 19 24 (b) Write an equation for the horizontal asymptote for N found in part (a). y = (c) Write a sentence interpreting the result found in part (a) in context. The model predicts that deaths occurred among members of the U.S. Navy as a result of influenza during the epidemic of 1918.

Answer 1