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- Ypsilanti Market Research conducted a survey to find out whether people who earn more money purchase more expensive goods. The following graph indicates the relationship between income the survey subjects earned and the price of the car that they purchased. The variable shown on the vertical axis is __________ (options: thousands of dollars per car, thousands of dollars per year, income, thousands of dollars, price, number of goods). The units for the variable on the horizontal axis are _________ (options: thousands of dollars per car, thousands of dollars per year, income, thousands of dollars, price, number of goods). There are two ways to view the information presented on the graph. First, the graph tells us the amount a person with a certain income is likely to spend on a car, and second, it tells us the probable income of a person who spent a certain amount on a car. For example, if an individual earned $50,000 last year and purchased a new car, you would expect that person to…Suppose that in the country of Sudland, when the yearly rate of economic growth fell from 3.0% to 1.5%, the yearly rate of increase in airborne pollutants fell from 6% to 5%. What is the average slope of a nonlinear curve between these points using the arc method? The average slope isSolve the following using the method in the brackets a) 3x2 -25x + 10 = 0 (quadratic formula) b) x2 +10x +25 = 0 (completing the square)
- Marketing surveys conducted by the sales manager for a company determined that 3,000 power drills could be sold for $60 each, but 4,000 drills could be sold for $50 each. (a) If the two data points were plotted on a coordinate system with the number of drills sold on the horizontal axis and the price of each drill on the vertical axis, what is the slope of the line between the two points? (b) Write a sentence that explains the result in part (a) in the context of this problem. For every additional drill sold, the price per drill (in cents) decreases by cent(s). (c) Assuming the trend in part (a) continues, how many drills can be sold for $56? drillsSuppose the following equation describes the relationship between the average number of classes missed during a semester (missed) and the distance from school (distance, measured in miles): missed = 3 +0.2 distance (i) Sketch this line, being sure to label the axes. How do you interpret the intercept in this equation? (ii) What is the average number of classes missed for someone who lives five miles away? (iii) What is the difference in the average number of classes missed for someone who lives 10 miles away and someone who lives 20 miles away?The variable shown on the vertical axis is _________ . The units for the variable on the horizontal axis are __________ . There are two ways to view the information presented on the graph. First, the graph tells us the amount a person with a certain income is likely to spend on a car, and second, it tells us the probable income of a person who spent a certain amount on a car. For example, if an individual earned $40,000 last year and purchased a new car, you would expect that person to have paid about _________ for the car. Similarly, if someone just paid $25,000 for a car, you could use this graph to estimate that this person's income was probably around __________ .
- If Y=10X+ square of X then the slope of Y, at X=2 isIndicate whether each of the following relationships is usually a direct relationship or an inverse relationship. a. A sports team’s winning percentage and attendance at its home games. b. Higher temperatures and sweater sales. c. A person’s income and how often he or she shops at discount stores. d. Higher gasoline prices and miles driven in automobiles.For each of the following scenarios, indicate whether the relationship between the two variables is positive or negative, as well as which line on the previous graph has a slope that reflects this type of relationship. Hint: The X-axis and Y-axis on the graph are not labeled intentionally. You need to substitute the variables from each scenario for the horizontal and vertical axis. For example, in the first scenario, X-axis should be labeled “ ice-cream" and Y-axis should be labeled "The temperature". Relationship options: positive, negative Line options: A, B, C, D True or False: Line D has a slope of infinity.
- An individual purchases a membership at a wholesale store for $26.50 per year in order to buy guacamole at $2.25 per container. Let x be the quantity of guacamole purchased per year and y be the total amount spent including the membership fee. Complete the table below. Do not include dollar signs in any responses. x 0 2 4 6 8 10 y Determine the slope and vertical intercept of the linearUsing first order conditions find the stationary values of the following (check whether they are relative maxima or minima or inflection points), assuming the domain to be the set of all real numbers.a) Y= -2X²+8x + 7b) Y= 5X² –xc) Y= 3X² +3Please give a detailed solution with an explanation. Please make sure the graph is visible, clear, and detailed. Make sure to include the new equilibrium coordinate point as well.
