in psychology tests, it is found that students can memorize a list of words after t hours, according to the learning curve y =50 -50e^-0.3t ,where y is the number of words a student can learn during the t^th hour of study. find how many words a student would be expected to learn in ninth hour of study?

Question

in psychology tests, it is found that students can memorize a list of words after t hours, according to the learning curve y =50 -50e^-0.3t ,where y is the number of words a student can learn during the t^th hour  of study. find how many words a student would be expected to learn in ninth hour of study?

mathhelper · Accepted Answer

Right now, t = 0, the student would be expected to learn 50 - 50e^(-.3*0) = 50 - 50 or 0 words per hour when t = 9, they would learn 50 - 50e^(-.3*9) = 50 - 50/e^2.7 = 46.6 or appr. 47 words/hr

Munewar · Answer

Abdela

Dach · Answer

Right now, t = 0, the student would be expected to learn 50 - 50e^(-.3*0)=50-50e^0=50-50=0 when t = 9, they would learn 50 - 50e^(-.3*9)=50-50e^-2.7=50-50(0.0672055127)=50-3.360275637=46.639724363