SOLUTION: In a typing class, the average number N of words per minute after t weeks of lessons was found to be N=157 over 1+5.3e^(-.12xt) Find the time necessary to type. A.) 50 wpm B

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Question 326508: In a typing class, the average number N of words per minute after t weeks of lessons was found to be N=157 over 1+5.3e^(-.12xt)
Find the time necessary to type.
A.) 50 wpm
B.) 75 wpm
Would you plug the two given numbers in where t is? I assumed you would but by the wording they want you to plug it into N? I am confused. And if it is N how would you solve?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Re-read your setup.
N - words per minute (wpm)
t - weeks
Here's how to solve.
N%28t%29=157%2F%281%2B5.3e%5E%28-0.12t%29%29
50=157%2F%281%2B5.3e%5E%28-0.12t%29%29
1%2B5.3e%5E%28-.12t%29=157%2F50=3.14
5.3e%5E%28-0.12t%29=2.14
e%5E%28-0.12t%29=0.403776
-0.12t=ln%280.403776%29
-0.12t=-0.9069
t=7.56
A little over seven and a half weeks.
.
.
.
Now follow the same steps and solve for t when N=75.