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?

Question

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?

alex_mattucci · Answer

@SolomonZelman could you help me with this please?

alex_mattucci · Answer

I am thinking the equation for part a will be something along the lines of x(x+1+3)(4)

firekat97 · Answer

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)

alex_mattucci · Answer

Yes I would agree.

firekat97 · Answer

okay :)

firekat97 · Answer

For part B, do you understand what is meant by the degree of a polynomial?

alex_mattucci · Answer

Yes I do.

firekat97 · Answer

okay so what do you suppose the degree would be if you were to simplify x(x + 1)

alex_mattucci · Answer

yes, I believe it would be (x^2+1x), Correct?

firekat97 · Answer

Yup, thats simplified correctly, now what would be the degree of x^2 + 1x?

alex_mattucci · Answer

A second degree binomial

firekat97 · Answer

yup thats correct, and the classification?

alex_mattucci · Answer

binomial

firekat97 · Answer

wait lol nvm i see you already answered that

alex_mattucci · Answer

yeah lol

firekat97 · Answer

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 · Answer

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 · Answer

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 · Answer

Btw, just out of curiosity, would you be able to roughly graph that, if asked to?

alex_mattucci · Answer

Yes but I believe that would be with a function like f(x).

firekat97 · Answer

yup, so if you were told its equal to zero or something.. :D

alex_mattucci · Answer

yeah

alex_mattucci · Answer

Alright, well thank you for all your help!