#24

#24
A. P(t)=700/(1+e^(-.4t)), if t goes to infinant that means that the exponent of e goes smaller thus it becomes insignificant=>700/(1+0) so then if t goes to infinant it would equal 700. This means that no matter how many classes you take at the Test Logistics your score will not get more than 700.
B. For the inverse of P(t) then change the equation to y=700/(1+e^(.4x)) then switch the x and y so it becomes x=700/(1+e^(.4y)) and solve for y in terms of x so then y=2.5*-In((x-700)/x). so then the P^-1(t)=2.5*-In((t-700)/t).
Melissa