OpenStudy (anonymous):

Company A rents copiers for a monthly charge of $300 plus 12 cents per copy. Company B rents copiers for a monthly charge of $600 plus 6 cents per copy. What is the number of copies above which Company A's charges are the higher of the two?

4 years ago
OpenStudy (anonymous):

any takers

4 years ago
OpenStudy (anonymous):

can someone help me

4 years ago
OpenStudy (espex):

How far have you gotten on this?

4 years ago
OpenStudy (anonymous):

Not too far

4 years ago
OpenStudy (espex):

Well, show me where you're at and let's see if we can't get an answer.

4 years ago
OpenStudy (anonymous):

I have another question that needs to be answered besides that one

4 years ago
OpenStudy (espex):

We should probably do one at a time.

4 years ago
OpenStudy (anonymous):

Yea but I'm doing online courses that need to be completed before the end of July and now I have a geometry question

4 years ago
OpenStudy (espex):

Let's see how far you've gotten on this one.

4 years ago
OpenStudy (anonymous):

Well I didn't get far at all on it

4 years ago
OpenStudy (espex):

That's okay, show me what you have done.

4 years ago
OpenStudy (anonymous):

The only thing I've done is stare at the question that's why I'm here

4 years ago
OpenStudy (anonymous):

I'm not the best at any kind of math besides counting and multiplication

4 years ago
OpenStudy (espex):

You might just surprise yourself. Okay, so this appears to be an inequality equation so why don't we start by writing what we know. Put what you know about the cost under the labels: Company A Company B

4 years ago
OpenStudy (anonymous):

well company A is 300 dollars and company B is 600 dollars

4 years ago
OpenStudy (espex):

Those are the initial costs, what about the cost per page?

4 years ago
OpenStudy (anonymous):

ah I think 12 and 6

4 years ago
OpenStudy (anonymous):

cents

4 years ago
OpenStudy (espex):

Yes, but we need this in similar units AND we need it in the form of an expression of cost.

4 years ago
OpenStudy (anonymous):

That's where I'm lost

4 years ago
OpenStudy (espex):

So we would want to write something like: Company A Company B $300 + $0.12 $600 + $0.06

4 years ago
OpenStudy (anonymous):

should I take notes

4 years ago
OpenStudy (espex):

Now what does the question want you to find out?

4 years ago
OpenStudy (espex):

You could refer back to this, remember it, or take notes to refer to, it is really up to you.

4 years ago
OpenStudy (anonymous):

That's what I'm doing. Now the problem wants me to find company A's charges compared to B's and see if it is higher

4 years ago
OpenStudy (espex):

True, but more specifically they are saying, if you made an equal amount of copies at both businesses, how many copies would you need to make before company A costs you more money?

4 years ago
OpenStudy (anonymous):

Yea that's right but how

4 years ago
OpenStudy (espex):

If you made 2 copies at both places, how much would you spend at each?

4 years ago
OpenStudy (anonymous):

300 and 600?

4 years ago
OpenStudy (espex):

Did both places give you 2 free copies?

4 years ago
OpenStudy (anonymous):

no

4 years ago
OpenStudy (espex):

Okay, so how much would it cost you?

4 years ago
OpenStudy (anonymous):

Uhh don't you have to multiply or divide

4 years ago
OpenStudy (espex):

Yes, you do have to do one of those. :) Think about what it is telling you, because if you don't understand what information it is giving you then it will make solving this much more difficult. Company A says that they will charge you $300 plus $0.12 for each copy.

4 years ago
OpenStudy (espex):

And right now you want 2 copies.

4 years ago
OpenStudy (anonymous):

Yea

4 years ago
OpenStudy (anonymous):

so what should I do first

4 years ago
OpenStudy (espex):

How would you determine the total cost to make 2 copies, without counting the rental fee?

4 years ago
OpenStudy (anonymous):

divide

4 years ago
OpenStudy (espex):

Alright, divide what?

4 years ago
OpenStudy (anonymous):

the monthly charge with the cents per copy

4 years ago
OpenStudy (espex):

How are the two charges related? Does the monthly charge change if I make one copy or twenty copies?

4 years ago
OpenStudy (anonymous):

No it doesn't because it's the starting charge... I think

4 years ago
OpenStudy (espex):

Exactly. The only thing that will change how much I will pay is the number of copies I actually make.

4 years ago
OpenStudy (anonymous):

Ok so what I need to do is take 300/12 and 600/6 and I'll get my answer?

4 years ago
OpenStudy (espex):

Why are you dividing the rental fee again? If you are renting copiers from me, I am going to take that 300 dollars and put it in my pocket, PLUS $0.12 PER copy that you make. So if you make 0 copies, I get $300, if you make 1 copy, I get $300.12.

4 years ago
OpenStudy (anonymous):

Aw ok I see where that happens so all I do multiply or add it seems to me like I add

4 years ago
OpenStudy (espex):

Write out the equation to calculate the total charge for 5 copies then.

4 years ago
OpenStudy (anonymous):

So we have 0 copies= 300, 1 copy= 300.12, 2 copies=300.24 am I right so far

4 years ago
OpenStudy (espex):

Yes you are. Can you write an expression to represent what you're doing? What if you had to calculate 1000 copies.

4 years ago
OpenStudy (anonymous):

I know that 1000 is x so we need to find y but I get confused when I have to find it because I don't know all the steps

4 years ago
OpenStudy (anonymous):

or is1000 the y

4 years ago
OpenStudy (espex):

There is no 'y' in this problem. We will be using 'x', but not just yet.

4 years ago
OpenStudy (anonymous):

ok when

4 years ago
OpenStudy (espex):

If you can visualize there being a variable here then you should be able to write an expression like we did earlier, only with the added information for the operation on the copies you were just doing.

4 years ago
OpenStudy (anonymous):

I can't visualize it well I can I just don't know if I'm doing it right

4 years ago
OpenStudy (espex):

Write it out and I will tell you if you are.

4 years ago
OpenStudy (anonymous):

Hmm so would it be 12+300x=1000

4 years ago
OpenStudy (espex):

You have it multiplying your rental fee, why wouldn't you multiply your copy charge?

4 years ago
OpenStudy (anonymous):

I got confused

4 years ago
OpenStudy (anonymous):

so it would be 300+12x=1000

4 years ago
OpenStudy (espex):

The 1000, in this example, is what you would put in place of your 'x'. You would have to calculate the equation to get what it equals.

4 years ago
OpenStudy (anonymous):

Ok so 1000 is the x no y value so now what I do is find what equals the x

4 years ago
OpenStudy (espex):

In this example the 1000 IS your 'x'. So you do not need to see how much it is.

4 years ago
OpenStudy (anonymous):

right ok man this is confusing

4 years ago
OpenStudy (espex):

If you went to a carnival and played the game where you throw balls at the plates, and the guy says that you get 3 balls for a dollar. How much would it cost you to throw 3 balls?

4 years ago
OpenStudy (anonymous):

a dollar

4 years ago
OpenStudy (anonymous):

is that right

4 years ago
OpenStudy (espex):

Yes it is. What if you wanted to throw 6 balls?

4 years ago
OpenStudy (anonymous):

18 right

4 years ago
OpenStudy (anonymous):

cause 3x6=18

4 years ago
OpenStudy (espex):

Sorry, my system became unstable... And no, you get 3 for $1, so for every $1 you are handed 3 balls. Now, if you wanted to throw 6 balls, how much would it cost?

4 years ago
OpenStudy (anonymous):

it would be 2 dollars

4 years ago
OpenStudy (espex):

Right, now you can think about the 3 balls as a "set". So you get 1 "set" for 1 dollar, you get 2 "sets" (6 balls) for 2 dollars, what if you wanted to throw 3 "sets"?

4 years ago
OpenStudy (anonymous):

9 dollars

4 years ago
OpenStudy (espex):

If you get 1 set for a dollar, how much is 3 sets?

4 years ago
OpenStudy (anonymous):

aw apologies 3dollars

4 years ago
OpenStudy (espex):

Exactly

4 years ago
OpenStudy (espex):

So how are you getting the cost? What if I asked you how much it would be to throw 10 sets?

4 years ago
OpenStudy (anonymous):

so 30

4 years ago
OpenStudy (espex):

If you get 1set for $1, 10 sets is ?

4 years ago
OpenStudy (espex):

I feel I need to point out that if you are having difficulty with this concept, the geometry you referenced earlier will be very difficult.

4 years ago
OpenStudy (anonymous):

Yes it is

4 years ago
OpenStudy (anonymous):

I'm trying to count by 3 but I guess that's wrong

4 years ago
OpenStudy (espex):

You need to count by the number it costs you each time. You only care about what is changing, each set you get will always have 3 balls. However you are changing the number of sets you get, which has a charge associated with each.

4 years ago
OpenStudy (espex):

If I punch you in the arm twice, each time you flinch, and you flinch three times, I get to punch you twice for each one, so 2(punches) multiplied by 3(flinches) means that I get to punch you 6 times.

4 years ago
OpenStudy (espex):

If I am going to give you 7 cents every time I step on a crack in the side walk, the amount I pay for each crack doesn't change, the number of cracks I step on does. So if I were to step on 0 cracks, you get 7cents times 0, if I stepped on 12 cracks, you get 7 cents times 12.

4 years ago
OpenStudy (anonymous):

aw that makes sense

4 years ago
OpenStudy (espex):

Well let's see if it does.. :) If I charge you 12 cents for every copy you make, how much will it cost you to make 4 copies?

4 years ago
OpenStudy (espex):

Think about what is changing and what stays the same.

4 years ago
OpenStudy (anonymous):

is it 48 dollars

4 years ago
OpenStudy (anonymous):

or 12+4=18 dollars

4 years ago
OpenStudy (espex):

Well your first answer was basically correct, although it is cents and not dollars. Your second answer is not right in any way.

4 years ago
OpenStudy (anonymous):

ok so its 48 cents got it

4 years ago
OpenStudy (espex):

Now how did you get that?

4 years ago
OpenStudy (anonymous):

I multiplied 12 times 4

4 years ago
OpenStudy (espex):

Excellent, that is great. Okay, so what if you made 6 copies?

4 years ago
OpenStudy (anonymous):

is it 72

4 years ago