Question

13. Joining the frequent visitor program at the planetarium costs $5 per year, Write an equation that can be used to determine n, the number of visits per year for which the cost of being a member of the frequent visitor program is equal to the cost of not being a member. Tickets cost $11 for each student who is a member of the planetarium's frequent visitor program and $13 for each student who is not a member.
14 : Solve your equation from item 13. List a property of equality or provide an explanation for each step

15: Explain the meaning of the solution of the equation

Answer 1

hi do u know the answer to the questions
i need them by tomorrow morning at 5
thanks

Answer 2

can u start out by answering the first then i can do it on my own and finish the rest

Answer 3

hello :0

Answer 4

hi

Answer 5

my name is shree

Answer 6

Pleasure to meet you ^.^

Answer 7

u too

Answer 8

do u get the question, i am stumped

Answer 9

let me see... i will write as i read :)

Answer 10

k thanks for helping

Answer 11

planetarium program cost: 5 per yr
n=visits per year
perks for being a member: 2 dollars of ticket (non-memeber pirce: 13 dollars)

Answer 12

ok i got this information from number thirteen

Answer 13

k
did u get the answer

Answer 14

working it out xD

Answer 15

sorry take ur time

Answer 16

N = llx + 13y
hmm im a little confused by the question but this is what i got :)

Answer 17

X being the amount members visiting, and why the non members

Answer 18

and y*

Answer 19

that's what i got too but solving it was the hardest part i tried to search everywhere

Answer 20

to solve for it we would need to make up an x and a y

Answer 21

i think that x=13
and y=11 but how do you justify that that is your answer you know by using mathematical steps

Answer 22

it says that they have to be equal thats why

Answer 23

where does it say it has to be equal?

Answer 24

it says it on number 13

Answer 25

yup

Answer 26

ohhhhhhhhhhhhhhhhhhhh i see, i just skimmed it XD

Answer 27

its k

Answer 28

let me re make the equation then :)

Answer 29

k

Answer 30

11n = 13n

Answer 31

do you get it?

Answer 32

yeah but when it says n is the number of total visitors, it just gets confusing

Answer 33

ok let me explain it :)

Answer 34

thnx

Answer 35

n is the number of visitors, in other word total visitors not just members or vice versa. with me so far?

Answer 36

guess so

Answer 37

then how do you know how much n is

Answer 38

one sec let me finish explaining that then we will get to that :)

Answer 39

k

Answer 40

hmm let me make an analogy (a fictional example to help relate)

Answer 41

so if i were to try and get people to join a program i would try and show them the benefits, or how much money they can save correct?

Answer 42

yup

Answer 43

wait...

Answer 44

i just confused my self... let me step back andre think this from the beggining

Answer 45

sure

Answer 46

ok.. after some quick thinking ive come up with a new equation

Answer 47

5 + 11n = 13n

Answer 48

wow it makes sense now :D

Answer 49

yeah because of the +5 of the yearly thing but how about justifying it

Answer 50

with this equation we get 2.5 visits per year which is wrong.. but we are on the right tracks now!

Answer 51

lets make one more change to the equation

Answer 52

remebered i said N was the total visits correct

Answer 53

remember*

Answer 54

s remembering

Answer 55

this means that n can not be the same for both 11 and and 13

Answer 56

yeah beacuse not the same amount of people have membership and not so ur right

Answer 57

so the new equation is 5 +11x = N - 13y

Answer 58

okay

Answer 59

i just dont get how you will get n or x or y

Answer 60

hmm same... but lets ee

Answer 61

see

Answer 62

it would be easier if we knew what n was wouldn't we

Answer 63

hmm i just had an idea, let me try working it out on my side...

Answer 64

sure

Answer 65

i am sorry to hurry you but i need to go and could u type the answer i will check in the morning sorry i an stay for 10 minutes

Answer 66

Alright ill see if this idea leads to the answer :D

Answer 67

thns u have soooooooo much help

Answer 68

what grade r u in

Answer 69

12th

Answer 70

whaa... i am in 8th

Answer 71

but i finished highschool math last year xD

Answer 72

im taking college lvl math now ^.^

Answer 73

omg i have been waiting for colledge like forever

Answer 74

i cant wait to go

Answer 75

to think i passed calculus to be struggling on a middle school math problem u.u

Answer 76

college is fun :d

Answer 77

and hahaha well common core algebra 1

Answer 78

do u come home from colledge or stay there

Answer 79

go home

Answer 80

xD

Answer 81

oh guess that's why u r even here

Answer 82

gotta go

Answer 83

cya

Answer 84

I GOT ITTTTTTT

Answer 85

After many errors it all clicked!!!

Answer 86

we where right the first time! well... errr third time or whatever it was

Answer 87

the correct equation is 11n +5 = 13n

Answer 88

what we need to prove is that buying membership and paing 11 dolars or just not being a member is the same in this equation

Answer 89

so following the equation if you only go 2.5 times a year then it will cost you the same as if you buy membership and go 2.5 times a year

Answer 90

11(2.5) = 27.5
=27.5 + 5
=32.5
13(2.5) = 32.5

Answer 91

we did it!

Answer 92

i was mislead by the impossibility of visiting 2.5 times, but that doesn't matter, the question is just asking for an equation that would make it theoretically possible for them them to result in the same price!!

Answer 93

as for a property of equality...

Answer 94

we used the subtraction property of equaltiy

Answer 95

5+ 11n (-11n) = 13n (-11n)

Answer 96

subtraction equality means that if we subtract the same number to both sides we still end up with the same equations for example the equation 5=5, if we subtract the same numbeer from both sides, it will still be true. 2-5 =5-2 = 3=3

Answer 97

number 15 i think i answered by saying that you would have to visit 2.5 times etc....

Answer 98

wow that was hard! That is the most thinking ive done in a while hahaha,