A pharmaceutical company introduces a new headache medication on the market. They advertise the product on television and find that the percentage P of people who buy the product after t weeks satisfies the function $\mathrm { P } ( \mathrm { t } ) = \frac { 100 \% } { 1 + 37 \mathrm { e } ^ { - 0.13 \mathrm { t } } }$ What percentage buy the product after 16 weeks? Round to the nearest tenth of a percent
When necessary.
A) 17.8%
B) 21.3%
C) 14.2%
D) 19.6%

Question

Quizplus · Accepted Answer

P(16) = 100/(1 + 37e^(-0.13(16))) = 100/(1 + 37e^(-2.08)) = 100/(1 + 37(0.125)) = 100/(1 + 4.625) = 100/5.625 = 17.8%

A Pharmaceutical Company Introduces a New Headache Medication on the Market