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shelby1290
 one year ago
A math textbook costs $60.00. The number of students who need the book is represented by x. The total cost of purchasing books for a group of students can be represented by the function f(x).
shelby1290
 one year ago
A math textbook costs $60.00. The number of students who need the book is represented by x. The total cost of purchasing books for a group of students can be represented by the function f(x).

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shelby1290
 one year ago
Best ResponseYou've already chosen the best response.1a) Write an equation in function notation to represent the cost of purchasing textbooks for x students b) State the degree of this function and whether it is linear or quadratic c) Use your equation to calculate the cost of purchasing books for a class of 30 students d) What are the domain and range of this function, assuming that books can be purchased for two classes of students? Assume that the maximum number of students in a class is 30. Express your answers in set notation.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0IF YOU WANT TO BUY THIS BOOK, HOW MUCH WOULD YOU PAY?

shelby1290
 one year ago
Best ResponseYou've already chosen the best response.1@hwyl i wouldn't even buy it, i don't like math lol

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0THIS IS JUST A HYPOTHETICAL QUESTION

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0IF YOU WERE TO BUY A $60.00 BOOK, HOW MUCH WOULD YOU EXPECT TO PAY?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0GOOD SO LET US CREATE A TABLE

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1442095256587:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0let us say you and your friend wanted to buy the book, how much you two pay?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0buy the book for each of you to own

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0let us update our table

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1442095394341:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0let us say that 20 students needed to buy the book, how much would it sum to?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0cool! so how about you update our table

shelby1290
 one year ago
Best ResponseYou've already chosen the best response.1what do i plug in for the xvalues?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1442095582413:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0IT IS JUST AN EXAMPLE AND I AM USING YOU AS AN EXAMPLE IT DOES NOT MEAN THAT YOU WILL BUY THE BOOK FOR REAL

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0DO YOU NOW FIGURE OUT HOW TO CREATE FUNCTIONS?

shelby1290
 one year ago
Best ResponseYou've already chosen the best response.1dw:1442095906271:dw

shelby1290
 one year ago
Best ResponseYou've already chosen the best response.1What do you mean by " do i now know how to create functions?"

shelby1290
 one year ago
Best ResponseYou've already chosen the best response.1And can you please stop typing in all capital letters?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0what do I mean, I mean do you now know how to write functions to be able to figure out your question letter A

shelby1290
 one year ago
Best ResponseYou've already chosen the best response.1Oh okay then no i don't know how to write an equation in function notation for part a)

shelby1290
 one year ago
Best ResponseYou've already chosen the best response.1But how do I create an EQUATION ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Okay, so you were on the right track

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0In this case, the function itself (a) is f(x) = 60x. You had that down. See where I pulled that from? (trying to get a baseline here)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Do you understand why that is the equation?

shelby1290
 one year ago
Best ResponseYou've already chosen the best response.1yes because 60 is the cost for the textbook

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Right, 60 is the base number. So x represents a variable, meaning, you can plug any number into it. I'll show you so you can visibly see it

anonymous
 one year ago
Best ResponseYou've already chosen the best response.060*1 = 60 when x=1 6*2 = 120 when x=2 etc. You can plug any number in there and multiply it and it'll be correct

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So you've already done part A. f(x) = 60x

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Do you know what kind of graph this would be? Linear vs quadratic?

shelby1290
 one year ago
Best ResponseYou've already chosen the best response.1linear because it has a degree of 1?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Very good, very good. You just did part b :) So it would be a straight line

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So if you wanted to see how much it would cost to buy 30 books, do you know what you would do?

shelby1290
 one year ago
Best ResponseYou've already chosen the best response.1f(30)=60(30) = $1,800

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0You even have proper notation, nice. See, you're doing just fine :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Now, what do you know about domain and range

shelby1290
 one year ago
Best ResponseYou've already chosen the best response.1Domain is {XER} and range is {YER}

shelby1290
 one year ago
Best ResponseYou've already chosen the best response.1I don't really understand how to set them up when i have a bunch of numbers.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I think you're better with algebra 1 than I was when I went through the course, I sucked at it. Yes. So basically domain is the xvalues and range is the yvalues. Do you want to take a wack at part d?

shelby1290
 one year ago
Best ResponseYou've already chosen the best response.1I know that i'll need greater and less than signs but idk where to place them

shelby1290
 one year ago
Best ResponseYou've already chosen the best response.1nooo don't say that lol i'm terrible at math. that's why im here asking a billion questions

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Nothing wrong with asking questions, at all. But I've seen people 10x worse than you. You get it, you just have to be kinda guided in the right direction. Trust me, I know people who are terrible at math

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So, take a look at the xvalues. You know that the maximum there can be is 30 students, but that includes the 30th student.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So that means there will be an "or equal to" in there

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So think about it, will it be "greater than or equal to" 30 students, or "less than or equal to" 30 students?

shelby1290
 one year ago
Best ResponseYou've already chosen the best response.1I'm one of them haha and what you said is true. I do need extra help.

shelby1290
 one year ago
Best ResponseYou've already chosen the best response.1dw:1442098912668:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Well I mean, you can't have greater than 30 students if 30 is the maximum right? You'd have to have less than or equal to 30 students?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0You know what I mean?

shelby1290
 one year ago
Best ResponseYou've already chosen the best response.1so all i'm changing is the greater than signs to less thans ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yeah. You can have any number of students, as long as they're either exactly 30 or less than 30. You can't go over that. So it's less than or equal to

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So the notation that's generally used for that is

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0That says that x is less than or equal to 30

shelby1290
 one year ago
Best ResponseYou've already chosen the best response.1ah okay so..dw:1442099289067:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yeah exactly. If your teacher wants you to use the {XER} that's fine. Most don't care and you can just put it plainly

shelby1290
 one year ago
Best ResponseYou've already chosen the best response.1what does it mean when you have two numbers inside of the brackets like i did before?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Can you show me an example?

shelby1290
 one year ago
Best ResponseYou've already chosen the best response.1i think im getting the differences mixed up

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh, I see, okay. So when you have like, 0<x<30, it means that it can't be less than 0 or greater than 30

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So for the purposes of this example, yeah, add that in

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1442099479057:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Glad you pointed that out :)

shelby1290
 one year ago
Best ResponseYou've already chosen the best response.1dw:1442099423813:dw

shelby1290
 one year ago
Best ResponseYou've already chosen the best response.1Like that or something ^

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So you understand what that means now yeah? And why it should be included?

shelby1290
 one year ago
Best ResponseYou've already chosen the best response.1like the way domains are set up?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0And why you should do 0<x<30 and not just x<30

shelby1290
 one year ago
Best ResponseYou've already chosen the best response.1Because you haven't bought the textbook yet so you start with 0? I don't know

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Because the lowest number of students you can possibly have is 0. You can't have negative people :) The xaxis is the students in this case

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0If we had just x<30, it would mean any number less than 30. That means you could have like 600 students, theoretically

shelby1290
 one year ago
Best ResponseYou've already chosen the best response.1ahh okay i see. does the same thing go for the range?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Kind of. You have the right idea

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So in the range's case, it's all the yvalues. So the yvalues is the amount paid for textbooks

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So what's the lowest value you can pay for a textbook?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0(Not a trick question)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So, what is the highest amount you will pay if you have a maximum of 30 students?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0You have 30 students. If 30 students pay $60 each, how much will all the textbooks cost? But you're right that 30 has to go into the equation

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yup! So what's the range going to be?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.030 has exclusively to do with x, so it's not going to be in there. Let me show you

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh, well, I guess so. I mean, it depends. You can have 0 students but I guess it's more likely your teacher would want at least one student rofl

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1442100303626:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I was thinking about it like apples. Lol. You can have 0 apples, but not a negative apple. Anyways

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0If you have one student, the maximum you'd pay is $60 for one textbook right?

shelby1290
 one year ago
Best ResponseYou've already chosen the best response.1yes that's true so is it correct even if i write down 0?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0If you write down 0, no textbooks are being bought so the lowest you'd have is $0. So you can have one of these two things here

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1442100443760:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1442100503454:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Does that make sense?

shelby1290
 one year ago
Best ResponseYou've already chosen the best response.1Yes, I get it now. Thank you so much!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0You're welcome :) I hope I helped. Sorry for the mixup v,v

shelby1290
 one year ago
Best ResponseYou've already chosen the best response.1That's totally fine. As long as your explanations make sense! (which they did)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0set notation is the easiest part of functions http://www.mathsisfun.com/sets/setbuildernotation.html
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