SOLUTION: Andy has 9 minutes to study for a Spanish exam. It takes him 6 minutes to write a practice essay, and 9 minutes to review the vocab froma lesson. Andy want to write E essays and re

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Question 703754: Andy has 9 minutes to study for a Spanish exam. It takes him 6 minutes to write a practice essay, and 9 minutes to review the vocab froma lesson. Andy want to write E essays and review the vocab in S lessons.
a) Write a inequality that describes all the possible values of e and s.
b) graph these values as a function of e.
I NEED HELP! :) Thanks!
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
If Andy has just 9 minutes to study for his Spanish exam, Andy is in trouble.
Andy NEEDS HELP!

Writing e practice essays would take Andy 6e minutes.
Reviewing the vocabulary in s lessons would take Andy 9s minutes.
Doing both would require 6e%2B9s minutes.

If all the time Andy has to study is 9 minutes,
a) 6e%2B9s%3C=9

b) Not sure what is meant by "these values", but
s%3E=0 and e%3E=0
If e=0 (Andy writes no essay) we get 9s%3C=9
so s=0 or s=1
(Andy can review vocabulary for 1 lesson, or review nothing).
Ie=1 (Andy writes 1 essay) we get 6%2B9s%3C=9--> 9s%3C=3 --> s%3C%2B1%2F3 --> s=0
(There's no time to review vocabulary).
I could graph that as


If there was a typo, and Andy really had 90 minutes, then we are looking for pairs of integers (e,s) that are solutions to
6e%2B9s%3C=90
That would be the integer pairs in the red solution zone:
graph%28300%2C300%2C-2%2C18%2C-2%2C18%2C6x%2B9y%3C=90%29 or Too many red circles to draw,
but I guess you get the idea. (By now, I am not willing to give Andy 90 minutes).