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. (4 points)

Part B: What would x(x + 1) represent? When simplified, what would be the degree and classification of this expression? (4 points)

Part C: How can you calculate the total number of students in each school? (2 points)

Answer 1

@jim_thompson5910

Answer 2

x schools
x+1 classes per school
x+4 students per class

how many students are there total?

Answer 3

3+(x+1)

Answer 4

no

Answer 5

i'm not sure

Answer 6

think of a numeric example, say we had

10 schools (x = 10)
11 classes per school (x+1 = 11)
14 students per class (x+4 = 14)

how many students are there total?

Answer 7

14

Answer 8

that's the number of students in one class

Answer 9

how many students are there total?

Answer 10

x+ (x+1)+(x+4)

Answer 11

you aren't adding them though

Answer 12

go back to that numeric example and you'll see why addition doesn't work

Answer 13

im really not sure

Answer 14

say we had 3 classes and 10 students per class

how many students are there total?

Answer 15

30

Answer 16

how did you compute that

Answer 17

10*10*10 sorry

Answer 18

no you were correct the first time, I just wanted to be sure you multiplied 3*10

Answer 19

oh okay

Answer 20

so say we had

10 schools (x = 10)
11 classes per school (x+1 = 11)
14 students per class (x+4 = 14)

how many students are there total? Well in this specific numeric example, there are 10*11*14 = 1,540 students total.

Answer 21

using that example, how do we answer part A?

Answer 22

x(x+1)(x+4)

Answer 23

very good

Answer 24

that's the number of students

each student gets 4 candies, so we multiply that by 4 to get

4x(x+1)(x+4)

Answer 25

which wraps up part A

Answer 26

OKAY Im getting it

Answer 27

that's good

Answer 28

part b?

Answer 29

What would x(x + 1) represent?

Answer 30

the number of classes per school?

Answer 31

that's x+1

Answer 32

x is the number of schools

Answer 33

so together, x*(x+1) means ???

Answer 34

number of schools per class?

Answer 35

say x = 10 schools, x+1 = 11 classes per school

so x*(x+1) turns into 10*11

Answer 36

10*11 represents what?

Answer 37

i'm sorry i dont know

Answer 38

10 schools
11 classes per school

think of it like that example where we wanted to find the total number of students in 3 classes

Answer 39

@jim_thompson5910 okay so when we mulplliy it right?

Answer 40

giving you what

Answer 41

this is not my answer, but it's like school is twice and classes *school?

Answer 42

I'm not sure what you mean

Answer 43

is it schools per classes? ugh, im not sure

Answer 44

think back to 3 classes, 10 students per class

we got 30 students total

-------------------------------------------------------

This part is just like that BUT we aren't finding the total number of students

Answer 45

you're probably overthinking

Answer 46

I know lol

Answer 47

one moment

Answer 48

okay so is it classes total?

Answer 49

total number of classes, yes

Answer 50

finally lol!

Answer 51

hopefully you see why that is the case

Answer 52

@jim_thompson5910 can you please help me? http://openstudy.com/study#/updates/53854472e4b03fd7b604666f

Answer 53

Simplified it's x^2+x and the degree is 2 and a binomial... yes i see

Answer 54

am i right?

Answer 55

yep, you are correct

Answer 56

we can calculate the total number of students in each school by finding x right?

Answer 57

yeah if we knew x, we can calculate x(x+1)(x+4) to find the number of students total

Answer 58

OKAY and thats THE ANSWER TO C

Answer 59

yes

Answer 60

thanks!!! so much !