Many states have passed laws against smoking in public places since January. The total number of states, N, that have passed a no smoking law, t months after January is given by the function $N ( t ) = \frac { 50 } { 1 + 22 e ^ { - 0.5 t } }$ How
Many states had passed a law in January? Round to the nearest thousandth.
A) 2.174
B) 0
C) 1.087
D) 0.217

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: $N(0) = \frac{50}{1 + 22e^{-0.5(0)}} = \frac{50}{1 + 22} = \frac{50}{23} \approx 2.174$.

Many States Have Passed Laws Against Smoking in Public Places N(t)=501+22e−0.5tN ( t ) = \frac { 50 } { 1 + 22 e ^ { - 0.5 t } }N(t)=1+22e−0.5t50​

Many States Have Passed Laws Against Smoking in Public Places $N ( t ) = \frac { 50 } { 1 + 22 e ^ { - 0.5 t } }$