Choose the one alternative that best completes the statement or answers the question.
-Many states have passed laws against smoking in public places since January. The total number of states, $\mathrm { N }$, that have passed a no smoking law, $\mathrm { t }$ months after January is given by the function $\mathrm { N } ( \mathrm { t } ) = \frac { 50 } { 1 + 19 \mathrm { e } ^ { - 0.7 \mathrm { t } } }$. How many states had passed a law in January? Round to the nearest thousandth.
A) 0
B) $2.5$
C) $0.25$
D) $1.25$

Question

Quizplus · Accepted Answer

To find the number of states that had passed a law in January, we substitute $t = 0$ into the given function: $N(0) = \frac{50}{1 + 19e^{-0.7(0)}} = \frac{50}{1 + 19} = \frac{50}{20} = 2.5$.

Choose the One Alternative That Best Completes the Statement or Answers