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Ftendoxn s8n120 Of ta price Ol Qasoerie Fom 20 qas 5e440n5 ruion thn sialistks bokw Compleiu pts & Brough c tekw SE() 968 [} Find # Irj conhdizIca Inleni lor In...

Question

Ftendoxn s8n120 Of ta price Ol Qasoerie Fom 20 qas 5e440n5 ruion thn sialistks bokw Compleiu pts & Brough c tekw SE() 968 [} Find # Irj conhdizIca Inleni lor Ino mtan prce pl roxxular oasolina Ieuan (D ((Eotnd 1o Vinte drcmal paaces needed 5}Fnd Ie 90** conlen ? nlervl lot Fio Moin) 02 mue Mcmi DuEu3 # noooud | 4uwa ned t tanu Eolricz hon & sartioll 40 stabona whnt woxlkdt Iha 95 * conndjonco Mnren ce {0P pida Oacunal placere nclocd |

Ftendoxn s8n120 Of ta price Ol Qasoerie Fom 20 qas 5e440n5 ruion thn sialistks bokw Compleiu pts & Brough c tekw SE() 968 [} Find # Irj conhdizIca Inleni lor Ino mtan prce pl roxxular oasolina Ieuan (D ((Eotnd 1o Vinte drcmal paaces needed 5}Fnd Ie 90** conlen ? nlervl lot Fio Moin) 02 mue Mcmi DuEu3 # noooud | 4uwa ned t tanu Eolricz hon & sartioll 40 stabona whnt woxlkdt Iha 95 * conndjonco Mnren ce {0P pida Oacunal placere nclocd |



Answers

$$ \begin{array}{cccccc} \text { Year } & 1998 & 2000 & 2002 & 2004 & 2006 \\ \text { Price } & 3247 & 3487 & 4081 & 5132 & 5836 \end{array} $$

All right for this one. I've gone ahead and said, Oh, here, let me make it a little smaller. So if it's on the screen, there we go. Um, I use an online calculator called Does Most Feel free to check it out. You know, if you've seen any of my videos, That's what I like to use anyway. Is this linear? And if we look at it, I'm gonna go ahead and draw a line and say the best fit line might look. Yeah, I think I could do it. Hair better than that best fit line off this actually. Freehand drawing right here. Best fit line somewhere. Like that. Maybe a bit higher. So, yes, I'm going to say this is indeed linear.

Everybody. My name is Colin and let's go ahead and take a look at this question, which is asking for the correlation between selling price and praise value and were given four answer choices there. So we're looking for here is, uh, when asked for Correlation is we're going to start with R R squared value because R squared, if you'll recall, is what's known. SD I'm is known as the coefficient of determination. And so to find the correlation, what we need to find is we just want to find our so naturally enough we're going to do is take that r squared value, which in this problem is 0.861 and we're gonna take the square root of it. So we're gonna take the square root of 0.861 And when we do that, we get 0.9 to 79 which is when you round equal 2.9 to 8, which matches up with answer choice D

Okay, so here we have this chart with the price, um, off a monitor and the quantity demanded. Demanded, depending on the price. So part am, this problem is asking us to pluck this points, um, into a plane. Okay, so we're gonna pluck this things, So we're gonna have the y axis, which is going to be, um, the quantity demanded. This is the quantity. This is the price. Um, we're gonna have a go up by twenties, and then our prices. We're gonna have it go up by fifties. Okay, We're gonna make this girl farther, okay? Now we're going to graph this. That we have 100. I'm 50 and 100 Bennett right there. 280 150 16. 340. Okay, so those would be just plotting the point. OK, now, Forbidden asked us to prove that this is a linear function. So what we want to do here is see if we have a, um, the same slope. Okay, So we're gonna look at our numbers up here, and we're gonna find the rate of change between the different points. Okay, So this one, we would have a t minus 100 over 200 miners, one of 50 which would then give us a negative 20/50. Okay. And would do the same thing with the other one. We have 60 minus 80 all over 2 50 minus 200 because gives us also in negative 20/50. So if we notice we have the same rate of change, so right, greater change. ISS a native, 20/50 we're going to write. This is a decimal, which is a negative syrup point for okay, and because they have the same, um, rate of change, Um, this ISS a linear function, and we know that it's a function because every exercise, its own Why, Okay, Now, let's write, um, a linear function to represent those points. So what we want to do is we have this lope or slope is this, But we need to know if we have a y intercept. So we're gonna want to find that y intercept. We're gonna choose a point. We're gonna, um, choose the point. Um 151 100 and we're gonna plug it into our like equation, which would look like what equals and Mexico's be right. And so Or why? Then it's 100 or the slope is, um, if you're negative 0.4 x and our X, actually iss 1 15 and with isil for B. Okay, so, um, negative 0.4 times 1 50 is a negative 60 and then we're gonna add 60. And so we have that, um, b is 160. So then our equation iss we're gonna write it asked que off p this equal to a negative syrup point for P plus 1 60 Okay, so that is our equation. And now, Part D is asking us to see, um what is going to be the implied domain off dysfunction? So domain is we're looking at the excess, right? So let's go up to a graph. We're looking our access, and so we want to know, um, where does it start? Where does it start? And where is it gonna end? Okay, so Well, we know that it's gonna, um it started zero. But how far is it going to go? So we need to see where do we have our other intercepts? And where is X? Um, where is why actually where's wise steer during a plug in a syrup for why? And so we have You always offer X. So we're going to move that 1 60 over to the other side. We're divided by a negative 0.4, and we get 400 here. So this counts Is that whenever we have, Um, but price is 400. We have Sierra demand. And so that tells us that then our domain goes from zero. So if we're prices zero, we're gonna have a 160 demand. Um, and it goes all the way to 400 because after that, we don't have any the man. Okay, well, part is asking us to graft dysfunction. So what we're going to do is just We know they have a point here, and we have a point there. So we are just going to connect. Um, kind of those points over line is gonna go through the points. Okay, in that kind of didn't work, but supposed to be a straight line. Okay. And then part f asked us to, um interpret. Oops. Sorry. Let's see. We're going to be interpreting the slope. So our slope is our negative 0.4. So what does that tell us? So our slope, remember is our rice over run. Okay, So since this is a negative, this will tell us that it the price increases by $1. Then the quantity demanded We'll go down because they will go. Will decrease by syrah 0.4 of a monitor. Okay, Now Part G then asked us to interpret the intercept. So what are our intercepts? We have zero in 1 60 and we have 400 0 So zero is their price. If your price is just X zero Sorry. If price this year then we have a demand of 116 mothers. And then the other one is If our price is 400 then we have no demand. You said those are gonna be your answers.

In this question we are going to evaluate a piecewise function. Okay first thing we've been asked to do is to evaluate Function see at 20. To do that. We would use the top piece of the function according to the domain 20 Is between one and 25. And that top piece says that you multiply the input by 15 oh 15 times 20 is 300. Mhm. That means That 15 book, Sorry 20 books Would cost $300 in part B. Were asked to evaluate The cost for purchasing 50 books for this one. Used the middle piece of the function because n. Is Biggest than 25 and less than or equal to 50. This middle function middle piece says to multiply the number of books by $13.50 each. 13 50 Times 50 is 675. 50 books cost $675 51 books. And you jump to a different piece of the function at 51 books purchased. Each book is only $12. So 12 times 51 comes in at $612. Quite a bit less. And the 6 75 for 50 books. So that's what we're thinking about for part C. In part C. Each book purchased is $12. How many books can I get For? Take 675 and divide by 12. You get 56.25. So we will say 56 books can be purchased At $12 a piece For a total less than slightly less than $675. The bookstore should rethink their charging rates.


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