word problem help please

Question

Psychologist use and exponential model of the learning process, f(t)=c(1-e^-kt) where c is the total number of tasks to be learned, k is the rate of learning expressed as a decinal, t is time in days, and f(t) is the number of tasks learned. Suppose you are required to learn new 25 tasks for a new job assignment and the rate of learning new tasks in this job assignment is 20%, how many of the tasks will you have learned in 7 days? Show work, round your final answer to the nearest whole number.

Answer 1

f(t)=c(1-e-kt) given c=25 and k=.2 want f(7) =25*(1-e^-.2*7)=19

 

Jim