SOLUTION: The school board is investigating ways to hire a faculty for the summer program. They can hire teachers and aides. a minimum of 20 faculty members is needed to rum the program, and

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Question 30510: The school board is investigating ways to hire a faculty for the summer program. They can hire teachers and aides. a minimum of 20 faculty members is needed to rum the program, and there must be at least 12 teachers. For a proper teacher-to-aide ratio, the nimber of aides must be no more than twice the number of teachers. There can be no more than 50 faculty members altogether. (Hint: There cannon be a negative number of teachers of aides.)
A. Write an inequality for each condition givin in this situation.
B. Graph the inequalities on the same coordinate axes.
C. If the school board hires 12 teachers and 5 aides, will all of the conditions be satisfied?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
50+%3E=+t+%2B+a+%3E=+20
[1] t+%2B+a+%3C=+50
[2] t+%2B+a+%3E=+20
number of aides is less than or equal to 2X number of teachers
a+%3C=+2+%2A+t
[3] t+%3E=+a%2F2
there must be at least 12 teachers
t+%3E=+12
+graph%28+280%2C+280%2C+-5%2C60%2C+-5%2C60%2C+20-x%2C50-x%2Cx%2F2%2C12%29+
12 teacher and 5 aides will not be enough. There must be at least 20 faculty