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Por anchoosirg betneen two diferent cell phone plans: The first plan charges - per minute: The second plan charges rate of 18 cents minutes would monthly fee of $44...

Question

Por anchoosirg betneen two diferent cell phone plans: The first plan charges - per minute: The second plan charges rate of 18 cents minutes would monthly fee of $44.95 plus 8 cents per minute: How you have t0 use in month in order for the many second plan to be preferable?Check Answver

Por anchoosirg betneen two diferent cell phone plans: The first plan charges - per minute: The second plan charges rate of 18 cents minutes would monthly fee of $44.95 plus 8 cents per minute: How you have t0 use in month in order for the many second plan to be preferable? Check Answver



Answers

You are choosing between two different prepaid cell phone plans. The first plan charges a rate of 26 cents per minute. The second plan charges a monthly fee of $\$ 19.95 p l u s 11$ cents per minute. How many minutes would you have to use in a month in order for the second plan to be preferable?

Okay, so in this example, or this problem, you have to cell phone. You have a cell phone company with two plants. Playing a is a liturgy. 26 per minute. Ah, and then playing big did, charging $19.95 per month, plus 11 cents a minute. All right. And so we want to find out which one. Um, which plan or how many minutes? Could be what? That you would choose Plan B. I'm kindness. Knows what we're looking for. One. If I didn't want war, Plan B B better. So if we come along when we say OK, so X is gonna equal the minutes, we talk on the telephone. All right, then I know that a the plan a plan would be, um the cost in terms of minutes is gonna equal 0.26 Todd, um, sex came. It would be my equation for plan. A high end B would be in terms a minute. The cost is gonna equal 11 cents per minute, plus the 19 95 that they're gonna charging. And we want to know how many minutes or win would be be less than a Okay, So we want to pick. Um, they want to know when we're playing baby better. All right. So basically, what we're gonna do is I'm gonna set of the equation, make it like an inequality. So here is my cost for Plan B, and I want to find out. When will it be less than the planet? Now, we're just going to solve for the minutes, So I'm gonna sit, try to point, um 11 from those sides. No, Me. Right. That family minus 0.11 x. Okay. If I do that, then he's cancel here, and I want it with 19. 95 is less than 0.15 x to solve for. Actually, we didn't. I'm sorry about that. And number two and I both sides my 0.15 Nevada white. 15 1995. Divide, about 19950.15 gives me Ah, 133. Next. So we want to know where. Say that when when your minutes are more than 133 you would want to go with playing bass. So let's just check that out quick. So let's say that costs if I know him better than mornings, was just checking at 1 34 Let's look at the cost of a So that is gonna equal to 0.26 times 1 34 And that is gonna give cost me $34.84. So Plan B, if we talked 100 34 minutes, you're gonna be a 340.11 times 1 34 Let us the 1995. Put that into my calculator, and I get that. That would be 34 69. So as long as you talked more than 1 34 minutes I'm sorry. 1 30 30 men. His plan B would be best. So, um, the number minutes. So, um, I guess you would say plan, baby or the second option, Plan B A. Is better that, um more than 133 minutes. More than 133 minutes. Yes. There's a range of that problem

Hi. We're looking a question 34 that has two plans and we know that you're gonna have 75 minutes of long distance. So we want to find out which plan is cheaper if you're gonna at have about 75 minutes of long distance. So we'll look at Plan one. Land One said that there was a flat fee of $3.95. Plus it was eight cents per minute. So we have the 3 95 plus eight cents times the 75. So when we simplify, this will have 3 95 here still, and for his minutes he will pay $6. So for the first plan, it will call it plan One. He has a total of 9 95 Now, we just need to do the same thing with the second plan. The second plans a little different because it doesn't have a flat fee. What it has is two different prices per minute. So the 1st 50 minutes are 10 cents, so we have 10 cents times 50 because we have more than 50 minutes total. Plus, it's 15 cents for every minute over 50. So I'll take the 75 and subtract the 50 that we've already included in this particular plan, and that leaves me with 25 minutes that they're going to be at the 15 cents. So that number is what's going to go over here. I'm gonna multiply by what's actually in that just scribble that put out 25. So now when I'm old, supply five times 10 cents, that's going to give me $5. And when I multiply 25 times 15 cents, I get $3.75 so that's $8.75 so plan to is cheaper and then you were done.

So problem 53 is about the two different cell phone plans. And it says I just wrote that the plan A So the first time they're talking about charges 26 cents per minute and then plan B the second when they talk about charges Ah, flat rate like a monthly fee of 1995 plus the 11 cents permanent on. And that says, how many minutes would you have to use in a month for the second plan to be preferable. So to figure that out, I'm gonna turn both of these into linear equations. And since plan A doesn't have a flat rate, it does not have a Y intercept. Well, it does, but it 00 And so the equation becomes y equals 00.26 x. Okay. And so I'm gonna do the same thing for plan B. But since it has a flat rate, that's gonna be the B and that's gonna be my M in my equation, just like up here. The rate was my m. So I'm gonna come over here and say, why equals 0.11 x plus that 1995. And so I come over here and I say, Okay, I want to know when they're equal, because when the two equations are equal, it'll cost the same, no matter the number of minutes based on a number of minutes. So whenever I want that number, the second plan to be greater I need to go bigger than that. So I'll kind of show you what that means as we move forward. So I'm gonna come over hand. I'm say, OK, since they're both equal toe. Why, Aiken set them equal to each other. And I'm gonna say that's equal to the green one, the 10.11 X plus 19 95. And then I'm going to basically get my variables on one side. So the exit on one side numbers on the other. So to do that, I'm going to subtract 10.11 x from each side, and that gives me 0.15 X equals at 1995 over on the other side. And then I'm gonna divide by the 19950.15 when I get X equals 1 33 Remember, X is the number of minutes. Okay, so at 133 minutes, right. That's when the two plans are going to cost the same. Okay, so the cost is gonna be equal. So anything over 1 33 is going to help that second equation. So you can say anything over 133 minutes is going to make that second plan preferable there. Okay, so that's how you do it.

So we have the starting value at 29 0.75 and we also have a rate of 0.15 in her our international calls. So we will call that X X is the number of international calls now that will be equal to our second initial value, which is 19.95 That's our starting value. And we also have to add the 0.29 our rate well, quite bite international calls. Something's problem again. We would have to. We'll bring all the excess to one side and the numbers to the other. So to do that be subtracted. 0.15 1st is your 0.15 x first from both sides, and this right here will cancel out our ex term on the left hand side, leaving us with just 29. Oh my. And I messed that up. 29.75 And our right hand side will be, well, our 19.95 there's going to be untouched, but our exes something will happen to them. 0.29 x minus 0.15 X is going to be well. If you do the math, the X comes down and we will billet with zero point when I minus folks four to minus one is you goto one zoom 0.14 x Now what we would have to do is he would have to subtract 19.95 from both sides. And that will cancel out our 19.95 on the right hand side, leaving us with 0.14 x and our love can't side will be 29.75 minus 19.95 That was a lot of work, but I have calculator. So it is 9.8. You can do the math yourself to just subtract 19.95 and well, the five will cancel. This will be pull AIDS and that is going to be nine and 17. Minus nine is going to be 8 to 9.8. We just confirmed. Good. No, I'm pointing. I was going to be called a 0.14 x. Our next step would beat the divide both sides by 0.14. Everyone has to be by itself. So this will cancel out the 0.14 turn leaving us just x and our left hand side is 9.8. The vet apply 0.14 which is equal to 70 and that's our answer, found out.


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