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Week 10 Gradable Discussion Numbers0 =01 =12 = 103 = 114 = 1005 = 101a) Find 15+50 pointsb) What language is it? +25 points c) Respond to one classmate +25 points T...

Question

Week 10 Gradable Discussion Numbers0 =01 =12 = 103 = 114 = 1005 = 101a) Find 15+50 pointsb) What language is it? +25 points c) Respond to one classmate +25 points Total 100 points

Week 10 Gradable Discussion Numbers 0 =0 1 =1 2 = 10 3 = 11 4 = 100 5 = 101 a) Find 15 +50 points b) What language is it? +25 points c) Respond to one classmate +25 points Total 100 points



Answers

Your math test is worth 100 points and has 38 problems. Each problem is worth either 5 points or 2 points. How many problems of each point value are on the test? a). 5 points: 54 2 points: 46 b). 5 points: 46 2 points: 54 c). 5 points: 30 2 points: 8 d). 5 points: 8 2 points: 30

I suppose this is the total number of students then that this is because the number of students taking french mm And this with a number of students taking spanish and this is the number of students taking none of these subjects. So we can write Yeah, number of students taking french f plus a number of the students taking spanish yes minus in this portion. That is the number of students taking both blows, number of students taking none of these subjects. And it was to total number of students. That is the close to 30. No. And the question it has been given, The number of students taking French is 20 number of students in Spanish 15. A number of experience taking both. We have to calculate he has a variable, a number of students taking none of this subject. It was 2, 5 whole country. Close to 30 as part of the world given concept. So on calculation will get a number of students taking both subject Comes out, it was to 10.

Ravana. Who? Boswell. Today I'll be helping you with the 36 problem of the model three test. And this question is asking in a group of 30 students 20 Take French 15 take Spanish and five take Need their language, How many students take both French and Spanish. So when looking at this problem, it's just doing the math. So you have 20 out of 30 students, take French and then, um so in a group of 36 is 20 take French 15 take Spanish and five take neither language. So how many of the students both take French and Spanish that we're looking for the overlap of them. So, um, when doing this one, you want to know that, um, you get the following equations of a plus B plus C plus deep, which would equal 30 which would recall all of the outcomes. And then you have B plus C, which is equivalent to 20 and then you have C plus a D, which is equal to 15 and then you have a which is equivalent to five. And so when you subtract equation to which is B plus C equals 20 from Equation one, which is a pussy puss d equals 30 a plus d equals 10. Um, since a equals five Deco's five substituting five for D in equation three leaves c equals 10. So that is why you have a total of C 10 people taking, um, both classes so I would be found the cell phone on. I'll be Have a great day, I think.

Given the both equations, I have isolated the white turn so I can equate the two expressions I have five. X minus 11 equals 10 minus two x. And so I have seven x He calls 21 and solving this I get X equals three. Now if I plug this back into here, I get five times three minus y equals 11. Therefore wise just 15 minus 11 which is for so this is my eye. Laayoune. There's my ex value. So the solution is three common negative for so that's option C for the answer.

So this problem we're going to be analyzing and interpreting some information about this graph. And this graph is a function that connects the number of computers to the cost. Um And I believe this is about some manufacturing scenario. So we have some questions to answer and let's jump right in. So question A. Or part A asks us about sea of zero. This function is called C. And so this means we want to find the Y. Value when X. Is equal to zero, so when X is equal to zero over here, we see that the Y value is equal to 5000. Now, since X represents the number of computers and why represents the cost? This implies that zero computers correlates with $5000 in cost. This makes him a bit strange, but this probably has to do with the fact that the business needs to needs to be running the manufacturing plant and it probably cost $5000 just to get up and running even before the materials for computers happens. So we've got 5000 here, meaning that's your computer's gives us a $5000 cost. My next question is pretty similar. Next we want to find C. Of 10. Again, that means we're going to find the Y value when X is equal to 10. We can see here it is 19,000. So this implies 10 computers correlates with $19,000 cost. So the cost is going up, which does make sense as you produce more, you'll have more costs to take care of. Next, we're asked for see a 50 we see that one, X equals safety, Y equals 51,000. So 50 computers, it implies $51,000 of cost. So those are the three questions about specific points. We have a few more questions about the graph in general. So, first we want to discuss the domain. So the domain asks us for all the X values that are possible in this function. And we can see that we have X values starting at zero and ending at 80. So we write our function as zero is less than equal to X, which is less than or equal to 80. Yeah. Or if we want to use the variable Q that they use here. We write zero is less than or equal to Q. Is less than or equal to 80. Generally using excess standard. But for the specific problem, we like to use the variables that the book uses. So we'll use cue here. All right. And now we have to interpret that. So, this means that we can make between zero or 80 computers full write it like this between zero and 80 computers inclusive. This means that it is possible to make zero and it is possible to make 80 can be made. So that's what our domain names here next. We're asked about the shape of the graph. The shape of the graph does have Richard. It's definitely nonlinear. It looks like it could be quite a few things that looks like it could be a polynomial of some sort. It could be exponential of some sort of algorithmic or potentially even tangent. So we can't say for certain, but we'll say non linear and we'll say a positive rate of change, meaning that as Q increases. See also increases. So we call this a positive graph. Finally were asked about one piece of this which is part F. And it tells us to look at the 10.30 32,000. So let's find at this point here, it says this is called an inflection point. And the reason why it's called this is because the shape of the graph changes at this point. So going up to this point, it looks to be what's called concave down, meaning that it's increasing. But the rate at which the graph is increasing is decreasing. It looks more like a cap than a cup. It's kind of slowing down. And then after this point, if you can speed it up faster and faster and faster. So that's what we'll summarize here will say at this point, the graph changes from concave down, which again looks like this. It's flattening out two concave up, meaning that it is speeding up like this. So that's our inflection point. So there we go. We have discussed three different points and their meaning, discussed the domain and its meaning, discuss the shape of the graph. And finally discuss what happens at this inflection point.


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