Answer to Question #167932 in Algebra for Ali

Question #167932

You are a Grade 10 representative on the student council and you have been assigned the task of finding a location to House of dance for students of CISE you have narrowed it down to three options which are outlined below.


ancient abyss is a location that charges a flat fee of $200 and $4 dollars per person, beautiful babylon is a location that charges a $99 flat fee and $6 per person, crazy Cleoparta is a location that charges $280 flat fee and $3 per person you will analyze the three options and put together a proposal to submit to the student council outlining your recommendations


1
Expert's answer
2021-03-02T01:05:09-0500

Let n=n= the number of students.

Ancient abyss: CA(n)=200+4nC_A(n)=200+4n

Beautiful babylon: CB(n)=99+6nC_B(n)=99+6n  

Crazy Cleoparta: CC(n)=280+3nC_C(n)=280+3n  


200+4n=99+6n=>n=50.5200+4n=99+6n=>n=50.5

For n50n\le50


CB<CA<CCC_B<C_A<C_C

280+3n=99+6n=>n=6013280+3n=99+6n=>n=60\dfrac{1}{3}

For 51n6051\leq n\le60


CA<CB<CCC_A<C_B<C_C


200+4n=280+3n=>n=80200+4n=280+3n=>n=80

For 51n7951\leq n\leq79


CA<CC<CBC_A<C_C<C_B

For n=80n=80


CA=CC<CBC_A=C_C<C_B

For n>80n>80


CC<CA<CBC_C<C_A<C_B


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