Whats the y-intercept value:
Y=11.5 times X + 1 +3.3

- anonymous

Whats the y-intercept value:
Y=11.5 times X + 1 +3.3

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- anonymous

4.3

- anonymous

got it?

- anonymous

I got that, but I thought it was 0.

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## More answers

- anonymous

Its supposed to be the y intercept of a graph I'm working on, and it intercepts y at 0,0

- anonymous

y=mx +c , right??

- anonymous

not really. Here's what it looks like: http://img269.imageshack.us/i/grapheo.png/

- anonymous

the trendline intercepts the y axis at 0,0

- anonymous

hey ankur?

- anonymous

anyone?

- anonymous

y= 11.5x + 1t +3.3

- anonymous

did you make that graph or is it part of the problem?

- anonymous

i made the graph.

- anonymous

The problem is I have an answer for the y-intercept of the equation (4.3, which I don't want to know), when I need to know the y-intercept of that graph, which I think is 0,0

- anonymous

no, that graph looks like it is going to intersect the y axis at about 4.3

- anonymous

you made that graph based on your equation, right?

- anonymous

why don't you extend the line on the graph and see where it meets the y axis?

- anonymous

yes i did

- anonymous

and?

- anonymous

I did make it based on my equation, and i did extend the trendline.

- anonymous

the trendline hits 0,0

- anonymous

if you made the graph based on your equation, then it will automatically intersect the y axis at 4.3

- anonymous

No, you must have made some mistake. if the line on the graph is the equation, then it has to intersect the y axis at 4.3

- anonymous

actually, it will hit the y axis at 3.3

- anonymous

because your x axis includes the teacher

- anonymous

wait, what is your input? Is it the number of students ?

- anonymous

how do you reckon I can fix this?

- anonymous

number of students +1 teacher

- anonymous

its the number of the students plus 1 teacher, and the other value is the total cost of the movie tickets for that amount of students + 1 teacher.

- anonymous

so lets call that class size. so the x axis is the class size. and the y axis is the cost. what is 3.3?

- anonymous

I'm not sure anymore. Its linear:
C$=11.5 x N+ 1 + 3.3

- anonymous

see, your input cannot be N+1. It is either the number of students alone or the number of students plus a teacher, who is always present.

- anonymous

if you are taking your input as the total number of people who are going to the theater, then it should not matter if one of them is a teacher.

- anonymous

but if you are taking the number of students alone as your input, then you have to do the N+1 business.

- anonymous

wait I think i get it now, so N should be students +1 teacher

- anonymous

1 teacher is always present no matter what. Its only the number of students who change.

- anonymous

so, if the number of students is 0, the teacher still ends up going to the theater by himself and pays the adult ticket price. which is 11.5 +3.3

- anonymous

i think the 3.3 is additional charge for adult.

- anonymous

so your y intercept should be 14.8, where your x axis is the number of students alone(not including the teacher)

- anonymous

i think you're right abuot the 3.3

- anonymous

so then total cost is y = 11.5(N+1)+3.
that is, 11.5 dollars for each ticket for all the students and teacher, plus 3.3 for the adult charge.

- anonymous

so plot your graph with x axis as the number of students alone.

- anonymous

then your y intercept will be if no students come for the class movie trip, that is, the adult teacher alone goes. so he will be charged 11.5 dollars, which is the charge for everyone +3.3 dollars for being adult.

- anonymous

got it?

- anonymous

please let me know if I have clarified your doubt. If there is no feedback, I cannot know whether to continue explaining or not.

- anonymous

how can i put that in a two column table

- anonymous

Thanks for your help btw, I appreciate it.

- anonymous

input (# of students N) | output (Cost)
0 | 14.8
1 | 14.8+11.5
...... and so on

- anonymous

n of students (+1 teacher)

- anonymous

N is a variable, right? the teacher is always present. so he is constant. Only the number of students changes.

- anonymous

I gave you the equation too:
y = (N+1)11.5 +3.3
y = 11.5N +14.8

- anonymous

yeah i know the 1 teacher is always present, always constant, and the number of students changes

- anonymous

right, so what is the confusion?

- anonymous

What title i have for that column

- anonymous

Total Number of Students + 1 teacher

- anonymous

and below that, '1' because theres 0 students, but 1 teacher

- anonymous

X axis is the number of students. x axis is the independent variable. y depends on x, so y axis is the dependent variable.
the titles of x axis and y axis should be # of students and Cost, respectively.

- anonymous

note that there is no x-intercept for this equation.

- anonymous

yup.

- anonymous

ill change that now...stay here though I reckon ive got more questions

- anonymous

Quick question, what is$11.50 after a 10% price rise? and $14.80

- anonymous

what is 10% of 11.5?

- anonymous

10 x 11.5 x100?

- anonymous

no that wasnt right

- anonymous

no kidding

- anonymous

of is times

- anonymous

cent = century = 100.
percent = per- cent.
per = for every.
per-cent = for every 100.
so if your share of profits is 10percent of total profit, it means you get 10 dollars for every 100 dollars the company makes. so you make 10/100 of what the company makes.

- anonymous

So if your company makes 200 dollars profit, and your share is 20 % of the profit, you make 20/100 of 200 = 20 dollars.

- anonymous

got it?

- anonymous

$12.30? Is that the 10% price increase?

- anonymous

sorry, that should have been 40.

- anonymous

no

- anonymous

what is 10% of 11.5?

- anonymous

$11.50 + 1.15= $12.65 ?????

- anonymous

wait my mistake, $12.65

- anonymous

great.

- anonymous

similarly find 10% increase in 14.8

- anonymous

I went 10x11.50 and then the % button

- anonymous

then added that to 11.50

- anonymous

understand what percent means and you wont have any confusion even if you have to do it without a calculator. see above.

- anonymous

So I go 10 for every 100, divide 14.80 by 10. I remember that, just jump the decimal backwards to divide by how many zeros.

- anonymous

okay so 10 % increase in 14.8 is 14.8+1.48

- anonymous

yup got it.

- anonymous

Number of Students (+1 teacher) | Cost
1 | 14.80

- anonymous

my maths teacher wanted me to add the +1 to the amount of students+1 teacher column

- anonymous

Then your variable is not number of students. your variable is class size.

- anonymous

in that case, it does not have a y intercept.

- anonymous

this is heaps frustrating for me. its due tonight in the next few hours. and I dont understand much about maths, I'm really poor at it

- anonymous

okay, for y intercept ti exist, the class size has to be zero. But the way you have defined your independent variable as (amount of students+1), your variable cannot be zero even if amount of students is 0. Do it my way. It is correct.

- anonymous

Please explain what your way (again!)

- anonymous

y = 11.5N +14.8
plot that graph. x axis is number of students.
y axis is cost.

- anonymous

see above.

- anonymous

or you can do it your way, if you shift the origin from 0,0 to 1,0

- anonymous

so its Cost=11.5 times Number of students plus 1 teacher's price

- anonymous

yes.

- anonymous

ok, so thats the formula down.

- anonymous

yes, if you do it your math teacher's way, then it doesn't make any sense. The cost would be 3.3 even if no one, including the teacher went.

- anonymous

How about the table? I'll show you what it looks like now: http://img839.imageshack.us/i/tableup.png/

- anonymous

ive been asked to use different numbers of the students, it doesnt have to be 1,2,3,4,5,6 etc.

- anonymous

yes, but if no-one goes in your teacher's method, the y-intercept is 3.3. So that means that the class pays 3.3 and no one goes, not even the teacher.
In my way, if no one goes, it means only the students don't go. The teacher still goes no matter what. My way makes more sense than your math teacher's way.

- anonymous

Yeah fair point. So what do you suggest I do with the table?

- anonymous

your table should read class size( teacher NOT included) and use the formula y = (N+1)11.5 +3.3

- anonymous

so for N = 0 , y = 14.8
N=1 y = 26.3 and so on.

- anonymous

I'm using 'Class size (teacher included in price)'

- anonymous

I guess, though I am not totally comfortable with that. You can argue with your teacher that his/her way does not make sense. you might get bonus points for that.

- anonymous

its correct, but it shouldn't read that. because it is a variable that you are defining as class size. It has no other attributes.

- anonymous

hang on, you changed it from
y = 11.5N +14.8
to
y = (N+1)11.5 +3.3

- anonymous

dude, both are the same equation. Think about it before you post this silly stuff.

- anonymous

its just proper semantics, that's all.
y = (n+1)11.5 + 3.3 conveys the proper meaning of the equation.

- anonymous

i'll stick with y = 11.5N +14.8, we're not using brackets/parenthesis currently in class

- anonymous

ok. thats up to you

- anonymous

i added a trendline, and displayed the equation on the chart but it says:
y = 11.13x + 11.194
R² = 0.9993

- anonymous

i know whats wrong, the class number still had the teacher added.

- anonymous

now its:
y = 11.5x + 14.8
R² = 1
a perfect r2 value!

- anonymous

what is R2 ? You can't expect people to know what you are talking about. you seem to be using some sort of software.

- anonymous

is that good or bad that r2 is 1?

- anonymous

I thought you'd know that! R squared value. I don't know much about it, but I remember that if its 1 its perfect, if its below, its not great.

- anonymous

I probably know it. But i may have called is Z squared. What is R?

- anonymous

The y-intercept (for the graph) is (0, 14.8)

- anonymous

right,.

- anonymous

The question says explain why it is this value

- anonymous

I say its because its linear, and it has a perfect r2 value, but I dont think thats right

- anonymous

it is that value because thats the price of the ticket for an adult. Duh!

- anonymous

lol thanks

- anonymous

you are welcome. Please tell me your problem's done! :)

- anonymous

almost.

- anonymous

so far every other question is going along smoothly, now I understand it better, thanks for your help.

- anonymous

just hang around a bit longer....

- anonymous

you are welcome

- anonymous

just figured out slope by myself :D

- anonymous

congratulations.

- anonymous

Last question now! :)

- anonymous

Write a mathematical model for the total cost for a class to visit the movies if the cost for 1 student is $s and for 1 teacher is $t when N students and 1 teacher attends
Help!?

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