Thursday, November 28, 2019

Math Checkup Unit 1 Lesson 3 Essay Example

Math Checkup Unit 1 Lesson 3 Essay Linear Functions Answer the following questions using what youve learned from this lesson. Write your responses in the space provided, and turn the assignment in to your instructor. 1. What is the slope of the line in the graph below? Show your work. Answer: To find out the slope, you must first take two separate points on the graph, such as (-5,-1) and (0,1). Then, it’s a simple matter to use the equation [pic] to find the slope: [pic]= [pic] 2. What is the slope of the line represented by the table of values below? How do you know? |x |y | |-2 |3 | -1 |4. 5 | |0 |6 | |1 |7. 5 | |2 |9 | Answer: By taking two different (x,y) values from the table and using the [pic] formula, we can easily find the slope. For example, let’s use (-2,3) and (0,6): [pic]= [pic] 3. Which of the following graphs could be the graph of y = 4x 5? Circle the letter of your answer(s) and explain your choice(s). a. b. c. d. 4. Write the equation of the line that passes through the points (3,7) and (-1,2) in: The slope is [pic]=[pic]=[pic] a. Point-slope form -2=[pic](x+1) b. Slope-intercept form y=[pic]x+[pic] 5. What is the slope of a line that is perpendicular to [pic]? Show your work. Answer: A line perpendicular to y=[pic]x would have a slope that’s the reciprocal of the slope to y=[pic]x. We will write a custom essay sample on Math Checkup Unit 1 Lesson 3 specifically for you for only $16.38 $13.9/page Order now We will write a custom essay sample on Math Checkup Unit 1 Lesson 3 specifically for you FOR ONLY $16.38 $13.9/page Hire Writer We will write a custom essay sample on Math Checkup Unit 1 Lesson 3 specifically for you FOR ONLY $16.38 $13.9/page Hire Writer So the answer is [pic]. 6. Write the equation of a line passing through (0,6) and parallel to the line [pic]. Answer: y=[pic]x+6 7. Which of the following tables of values could have been generated by a linear function? How do you know? a. |x |y | |-2 | -3 | |-1 |-5 | 0 |-7 | |1 |-9 | |2 |-11 | b. |x |y | |-2 |1 | |-1 |3 | |0 |6 | |1 |10 | |2 |15 | c. |x |y | |-2 |1 | |-1 |1 | |0 |1 | |1 |1 | |2 |1 | Answer:Table A is a linear function, since it has an even distribution in both its x and y values. Table B is NOT a linear function, since it doesn’t have an even distribution in its y values. Table C is a linear function, since it has an even distribution in both its x and y values. 8. For each table in #7 that could have been generated by a linear function, calculate the slope of the line produced by that function. Answer: The rise over run formula [pic] shows the slope of a function table. Table A has a slope of [pic]= [pic]= -2. Table C has a slope of [pic]= [pic]= 0. 9. The cost of hosting a dinner in a particular restaurant is given by y = 18. x + 250, where x is the number of people at the dinner and y is dollars. What is the slope of this function? What does it mean in the context of the problem? Answer: The slope is 18. 5. It means that each person that attends costs $18. 50. 10. The cost of hosting a dinner in a particular restaurant is given by y = 18. 5x + 250, where x is the number of people at the dinner and y is dollars. What is the y-intercept of this function? What does it mean in the context of the problem? Answer: The y-intercept is 250. This means that you must pay $250 BEFORE you pay for each guest’s meal. 11.Write the equation of the line that is parallel to the x-axis and goes through the point (1,4). Answer: y=4 12. Does the point (2,6) lie on the line that connects (1,4) and (0,3)? Explain. Answer: The equation for the slope of (1,4) and (0,3) is y=x+3. Just plug (2,6) into the equation: 6=2+3? No. 6=/=2+3 So, no. (2,6) does not lie in the line that connects (1,4) and (0,3). 13. Which of the following pairs of lines are perpendicular? How do you know? Perpendicular? a. [pic] and [pic]No. Their slopes are NOT negative reciprocals. b. [pic]and [pic]Yes. Their slopes are negative reciprocals. c. [pic]and [pic]No.Their slopes are NOT negative reciprocals. 14. Jeremy uses the linear function G = 12h + 50 to represent the grade, G (in points out of 100), that he can earn on an exam as a function of h, the number of hours he spends studying for the exam. a. Identify the slope and y-intercept of Jeremys function and explain what they mean in the context of the problem. The slope is 12 and the y-intercept is 50. This means that Jeremy’s score, if he didn’t study, would be 50. However, for every hour he studies, his score will go up 12 points. b. If Jeremy spends 3 hours studying for the exam, what grade does he expect to earn?Show your work. G = 12(3) + 50 = 36 + 50 = 86 Jeremy can expect to earn 86 points on the test if he studies for 3 hours. c. How many hours should Jeremy study if he wants to earn a perfect score on the exam? Show your work. 100 = 12h + 50 50 = 12h h = 4 hours, 10 minutes. 15. Suppose that demand, D, for a particular product is given by the function D = 100 2p, where p is the price in dollars of the product and D is the number of products that can be sold at that price. a. What does the slope of this function mean in the context of the problem? The slope shows that for each dollar the price increases, two less items will be sold. b.What price should be set in order to sell 75 items? Show your work. 75 = 100 2p 2p = 25 p = $12. 50 The price should be set as $12. 50 to sell 75 items. 16. Temperature may be given in degrees Celsius or in degrees Fahrenheit. The freezing point of water is 32(F or 0(C. The boiling point of water is 212(F or 100(C. a. Write the equation of a line that shows the relationship between degrees Fahrenheit and degrees Celsius. C=[pic](F-32) b. What is the temperature in Fahrenheit when it is 17oC? 62. 6 Fahrenheit c. What is the temperature in Celsius when it is 79oF? 26. 1 Celsius 17. Write at least three different expressions that mean slope. Answer: Slope=[pic]=[pic]=[pic] 18. In order to write the equation of a line, what two pieces of information do you need? (Hint: there may be more than one answer to this question. ) Answer: You must know both the slope and y-intercept to write the equation of a line. 19. The cost of manufacturing soccer balls is given by C = 24,000 + 7x, where x is the number of soccer balls produced. a. What is the slope of this equation and what does it represent in the context of the problem? The slope is 7, and that means each soccer ball costs $7. b. What is the y-intercept of this equation and what does it represent in the context of the problem?The y-intercept is 24,000, and it means that you have to pay $24,000 BEFORE making any soccer balls. c. If a manufacturer wanted to spend less than $30,000 to produce soccer balls, what is the maximum number of balls that can be produced? Show your work. 30000=24000+7x 6000=7x 857. 14=x The maximum number of soccer balls that can be made without spending above $30000 is 857. 20. Write the equation of a line that is parallel to the line connecting (2,5) and (-1,-4). Answer: y=3x+5 This is the only line with a negative slope and a negative intercept.

Sunday, November 24, 2019

Definition and Examples of Point of View

Definition and Examples of Point of View Point of view is the perspective from which a speaker or writer recounts a narrative or presents information. Also known as a viewpoint. Depending on the topic, purpose, and audience, writers of nonfiction may rely on the first-person point of view (I, we), the second-person (you, your, youre), or the third-person (he, she, it, they). Author  Lee Gutkind points out that point of view is innately tied to voice, and a strong, well-executed point of view will also lead to a strong voice (Keep It Real, 2008). Examples and Observations Point of view is the place from which a writer listens in and watches. Choosing one place over another determines what can and cant be seen, what minds can and cant be entered. . . . The main choice, of course, is between the third and first person, between a disembodied voice and I (in nonfiction synonymous with the author). For some, the choice is made before sitting down to write. Some writers feel obliged to use the third person, by tradition the voice of objectivity, the disinterested mode of address appropriate for the newspaper or for history. Other writers, by contrast, seem to adopt the first person as a reflex, even if they are not writing autobiographically. But choosing a point of view really is a choice fundamental to the construction of nonfiction narratives, thus carrying relevant consequences. No moral superiority inheres in the first or third person, in their many varieties, but the wrong choice can deaden a story or distort it enough to turn it into a lie, sometimes a lie composed of facts.(Tracy Kidder and Richard Todd, Good Prose: The Art of Nonfiction. Random House, 2013) Subjective and Objective Viewpoints Pronouns reflect the various viewpoints. You can choose first-person (I, me, us, our), second person (you), or third person (he, she, they, their). First-person is considered intense, subjective, and emotionally hot. It is the natural choice for a memoir, autobiography, and most personal-experience essays. The reader is the center of attention for second-person. It is the favored point of view for instructional material, advice, and sometimes admonishment! It is intimate without being intenseunless the voice of the author is authoritarian or controlling instead of instructive. . . . Third person can be subjective or objective. For instance, when used for an as told to personal-experience essay, third-person is subjective and warm. When used for news and information, third-person is objective and cool. (Elizabeth Lyon, A Writers Guide to Nonfiction. Perigee, 2003) The First-Person Narrator Its hard to write a memoir or a personal essay without falling back on the I. In fact, all nonfiction is really told in the technical first-person point of view: there is always a narrator doing the telling, and the narrator is not some fictional persona but the author. This single point of view is one of the important- and frustrating- hallmarks that distinguishes nonfiction from fiction. Yet there are ways to mimic other points of viewand thereby to tell a more natural sort of story. Listen to the opening lines of Daniel Bergners God of the Rodeo: When he had finished workbuilding fence or penning cattle or castrating bull calves with a knife supplied by his boss on the prison farmJohnny Brooks lingered in the saddle shed. The small cinder-block building is near the heart of Angola, Louisianas maximum-security state penitentiary. Alone there, Brooks placed his saddle on the wooden rack in the middle of the room, leapt onto it, and imagined himself riding in the inmate rodeo coming up in October. No sign yet of the author- a strictly third-person presentation. . . . The author wont enter the story directly for many more lines; hell duck in once to let us know hes there and then disappear for long stretches . . .. But in fact, of course, the author has been with us in every line, in the second way that an author participates in a nonfiction story: tone. (Philip Gerard, Talking Yourself Out of the Story: Narrative Stance and the Upright Pronoun. Writing Creative Nonfiction, ed. by Carolyn Forchà © and Philip Gerard. Writers Digest Books, 2001) Point of View and Persona [T]hese issues of point of view really point to one of the most fundamental skills in creative nonfiction, to writing not as the author but from a constructed persona, even if that persona is taking on the I to tell the story. That persona is formed by time, mood, and distance from the events that are being narrated. And if we decide to foreground the artifice of this construction by using more stylized points of view, such as second- or third-person, we create even more of a relationship between the narrator and the narrated, a high awareness that we are engaged in the reconstruction of experience and not pretending to be mere transcribers of that experience. (Lee Gutkind and Hattie Fletcher Buck, Keep It Real: Everything You Need to Know About Researching and Writing Creative Nonfiction. W.W. Norton, 2008) Obi-Wan Kenobi on Point of View Obi-Wan:  So, what I told you was true . . . from a certain point of view. Luke: A certain point of view? Obi-Wan: Luke, youre going to find that many of the truths we cling to depend greatly on our own point of view. (Star Wars: Episode VIReturn of the Jedi, 1983)

Thursday, November 21, 2019

Discussion point Essay Example | Topics and Well Written Essays - 250 words - 1

Discussion point - Essay Example ad confirmed everything with the sample I was given I simply walked away; only to open the package and find that its hard disk capacity was 300GB instead of the advertised 320GB. I inquired about the reason for the difference at the store and I was informed that the receipt I had signed indicated that it is not a must the goods delivered match exactly with what was advertised. Under the Sales of Goods Act, it is evidently clear that seller was in violation of the Act because the Act prescribes that whatever goods a seller is selling should match with the description given of which in this case is the advert that was placed on the Daily Newspaper. Secondly, the Sales of Goods Act requires that the goods sold by the seller must match the sample shown to the customer and it must be free of any hidden defects. Therefore, the seller was in total violation of Sales of Goods Act because of the fact that he sold me a laptop that did not match the description on the advert and even the sample I was shown at the store (Macleod,