SOLUTION: the number of students in a lecture room is inversely proportional to the square root of the number of lectures in a class of 30 students there were 25 lectures. what is the eval

Algebra ->  Proportions -> SOLUTION: the number of students in a lecture room is inversely proportional to the square root of the number of lectures in a class of 30 students there were 25 lectures. what is the eval      Log On


   

Question 1134560: the number of students in a lecture room is inversely proportional to the square root of the number of lectures in a class of 30 students
there were 25 lectures. what is the evaluation connecting the students and the lectures. find the number of lectures that will be involved when there were 50students
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +k+ = the constant of proportionality
Let +s+ = the number of students
Let +n+ = the number of lectures
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+s+=+k%2A%28+1%2Fsqrt%28n%29+%29+
+k+=+s%2Asqrt%28n%29+
+s+=+30+
+n+=+25+
+k+=+30%2Asqrt%2825%29+
+k+=+30%2A5+
+k+=+150+
-----------------------------
+s+=+50+
+s+=+k%2A%28+1%2Fsqrt%28n%29+%29+
50+=+150%2A%28+1%2Fsqrt%28n%29+%29+
Multiply both sides by +sqrt%28n%29+
+50%2Asqrt%28n%29+=+150+
+sqrt%28n%29+=+3+
+n+=+9+
There are 9 lectures