SOLUTION: The following function models the average typing speed S, in words per minute, for a student who has been typing for t months. S(t) = 5 + 29 ln(t + 1), 0 ≤ t ≤ 9

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: The following function models the average typing speed S, in words per minute, for a student who has been typing for t months. S(t) = 5 + 29 ln(t + 1), 0 ≤ t ≤ 9       Log On


   



Question 1007151: The following function models the average typing speed S, in words per minute, for a student who has been typing for t months.
S(t) = 5 + 29 ln(t + 1), 0 ≤ t ≤ 9
Use S to determine how long it takes the student to achieve an average typing speed of 65 words per minute. Round to the nearest tenth of a month.

months

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+S%28t%29+=+5+%2B+29%2A+ln+%28+t+%2B+1+%29+
+0+%3C=+t+%3C=+9+
--------------
+S%28t%29+=+65+
+65+=+5+%2B+29%2A+ln+%28+t+%2B+1+%29+
+29%2A+ln+%28+t+%2B+1+%29+=+60+
++ln+%28+t+%2B+1+%29+=+60%2F29+
+ln%28+t+%2B+1+%29+=+2.069+
+e%5E2.069+=+t+%2B+1+
+7.917+=+t+%2B+1+
+t+=+6.917+
It will take 6.9 months