Edward C. answered • 03/10/15

Caltech Grad for math tutoring: Algebra through Calculus

(a) "originally" ==> t = 0 so

p(0) = 1200/[ 1 + 11e^(-.2*0) ] = 1200 / (1 + 11) = 100

(b) Plug t = 10, 20 and 30 in to the formula

p(10) = 1200/[ 1 + 11e^(-.2*10) ] = 1200/(1 + 11e^(-2)) = 1200/[1 + 11(0.1353) ]

= 1200/(1 + 1.4883) = 1200/2.4883 = 482.3

You can't have .3 of a fish so round to the nearest integer = 482

p(20) = 1200/[ 1 + 11e^(-.2*20) ] = 998.8 ~ 999

p(30) = 1200/[ 1 + 11e^(-.2*30) ] = 1168.1 ~ 1168