Question

In college, we study large volumes of information- information that, unfortunately, we go not often retain for very long. The function f(x) = 80e +20 describes the percentage of information, fx), that a particular person remembers x weeks after learning the information. a. Substitute 0 for x and, without using a calculator, find the percentage of information remembered at the moment it is first learned. b. Substitute 1 for x and find the percentage of information remembered after 1 week C. Find the percentage of information that is remembered after 4 weeks. d. Find the percentage of information that is remembered after 1 year.

Answer 1

a)

`f(0)=80\cdot e^(-0.5\cdot0)+20=100`

b)

`f(1)=80\cdot e^(-0.5)+20=68.52`

c)

`f(4)=80\cdot e^(-0.5\cdot4)+20=30.82`

d)

`f(48)=80\cdot e^(-0.5\cdot48)+20=20`