Alex_Mattucci
  • Alex_Mattucci
A company distributes free candies to all the students of x schools. Each school has (x + 1) classes. The number of students in each class is 3 more than the number of classes in each school. Each student is given 4 candies. Part A: Write an expression to show the total number of candies distributed by the company in x schools. Part B: What would x(x + 1) represent? When simplified, what would be the degree and classification of this expression? Part C: How can you calculate the total number of students in each school?
Mathematics
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SOLVED
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katieb
  • katieb
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Alex_Mattucci
  • Alex_Mattucci
@SolomonZelman could you help me with this please?
Alex_Mattucci
  • Alex_Mattucci
I am thinking the equation for part a will be something along the lines of x(x+1+3)(4)
FireKat97
  • FireKat97
You forgot to multiply by (x + 1) for the number of classes, I think, so I believe it should be 4x(x +4)(x + 1)

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Alex_Mattucci
  • Alex_Mattucci
Yes I would agree.
FireKat97
  • FireKat97
okay :)
FireKat97
  • FireKat97
For part B, do you understand what is meant by the degree of a polynomial?
Alex_Mattucci
  • Alex_Mattucci
Yes I do.
FireKat97
  • FireKat97
okay so what do you suppose the degree would be if you were to simplify x(x + 1)
Alex_Mattucci
  • Alex_Mattucci
yes, I believe it would be (x^2+1x), Correct?
FireKat97
  • FireKat97
Yup, thats simplified correctly, now what would be the degree of x^2 + 1x?
Alex_Mattucci
  • Alex_Mattucci
A second degree binomial
FireKat97
  • FireKat97
yup thats correct, and the classification?
Alex_Mattucci
  • Alex_Mattucci
binomial
FireKat97
  • FireKat97
wait lol nvm i see you already answered that
Alex_Mattucci
  • Alex_Mattucci
yeah lol
FireKat97
  • FireKat97
now tbh Im kinda confused by part c because I believe you have to be given something like the number of candies distributed, so for instance if they told us that the company had distributed y number of candies then we could let 4x(x +1)(x + 4) = y, to find x, but in this case, we have not been given enough info in my opinion :/
Alex_Mattucci
  • Alex_Mattucci
I am pretty sure that you just have to divide by 4 because the equation solves like finding the number of students and then multiplying by 4 because each student gets 4 candies so just don't actually multiply by 4 so take that out of the equation.
FireKat97
  • FireKat97
I see what you mean, that the number of students would be x(x+1)(x+4), I thought they were asking for a numerical value
FireKat97
  • FireKat97
Btw, just out of curiosity, would you be able to roughly graph that, if asked to?
Alex_Mattucci
  • Alex_Mattucci
Yes but I believe that would be with a function like f(x).
FireKat97
  • FireKat97
yup, so if you were told its equal to zero or something.. :D
Alex_Mattucci
  • Alex_Mattucci
yeah
Alex_Mattucci
  • Alex_Mattucci
Alright, well thank you for all your help!

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