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- Your customer states that when the price of your product is $103.6 a unit, they will purchase 150 units. If you firm charged $70.4 a unit, however, your customer says that they would purchase 153 units. Recalling that price is on the y-axis of the demand curve and quantity demanded is on the x-axis of the demand curve and assuming that your customer's demand is a linear function over this range, what is the slope of your customer's demand curve?Find a formula for the linear function with slope −3 and x-intercept 2.Consider that the relation between the cost of production, the lot of size production and the number of labours if for a particular point the slop is change to another point where Xp=26 for X1, Xp=22 for X2, find the estimate values of these parameters Y: 10 , 20, 30, 40, 50 ,60 ,70 ,80, 90 ,100 X1: 5, 10, 15 ,20 ,25 ,30 ,35, 40 ,45 ,50 X2: 4 ,8, 12 ,16 ,20, 24 ,28 ,32, 36 ,40
- Life Expectancy at 65 Using data for selectedyears from 1950 and projected to 2050, the functiony = 0.077x + 13.827 gives the life expectancy atage 65, with y equal to the number of additional yearsof expected life at age 65 and x equal to the numberof years after 1950.a. Why is this a linear function?b. Find and interpret the slope of the graph of thisfunction.(Source: Social Security Administration)Marissa must decide between one of two companies as her long-distance phone provider. Company A charges a monthly fee of $7.00 plus $0.06 per minute,while Company B does not have a monthly fee,but charges $0.08 per minute. (a) Find a linear function that relates cost, C, to total minutes on the phone,x,for each company. (b) Determine the number of minutes x for which the bill from Company A will equal the bill from Company B. (c) Over what interval of minutes x will the bill from Company B be less than the bill from Company A?The US Department of Health conducted a survey for the years 1985-2018 regarding the use of cigarettes. Datafrom those years indicate that the linear function y = −0.47x + 47.1 gives an estimate of the 18-25 age group using cigarettes. The variable x represents the number of years since 1985 and y represents the percentage of 18-25 year old individuals using cigarettes. Explain what the −0.47 represents in terms of time and the percentage of 18-25 year old individuals using cigarettes.
- 33. Identify the relationship that exists between the 2 variables. As the weather gets colder, air conditioning cost decreasesSuppose the cost of a business property is $1,940,000 and a company depreciates it with the straight line method suppos v is the value of the property after d years and the line representing the value as a function of years passes through the points of (20,1300000) and (30,700000)The number of phone calls between two cities, N, during a given time period varies the directly as the populations p1 and p2 of the two cities and inversely as the distance, d, between them. If 36,000 calls are made between two cities 310 miles apart and the populations of the cities are 31,000 and a 180,000, how many calls are made between two cities with populations of 80,000 and a 150,000 that are 485 miles apart?
- Which set of ordered pairs (�,�)(x,y) could represent a linear function? A= {(−8,9), (−3,4), (1,−1), (5,−6)}{(−8,9),(−3,4),(1,−1),(5,−6)} B= {(1,−8), (3,−5), (5,−2), (7,1)}{(1,−8),(3,−5),(5,−2),(7,1)} C= {(−2,9), (0,4), (2,0), (4,−4)}{(−2,9),(0,4),(2,0),(4,−4)} D= {(−2,−3), (1,0), (5,3), (8,6)}{(−2,−3),(1,0),(5,3),(8,6)}Suppose the line y =2.8333x −22.4967describes the relation between the club-head speed (in miles per hour), x and the distance a golf ball travels (in yards), y. (a) Predict the distance a golf ball will travel if the club-head speed is 100 mph. The golf ball will travel ___ yards. (round to the nearest tenth) (b) Suppose the observed distance a golf ball traveled when the club-head speed was 100 mph was 265 yards. What is the residual?Consider that the relation between the cost of production, the lot of size production and the number of labours if for a particular point the slop is change to another point where Xp=26 for X1, Xp=22 for X2, graph the linear model , what happen when the slop change Y: 10 , 20, 30, 40, 50 ,60 ,70 ,80, 90 ,100 X1: 5, 10, 15 ,20 ,25 ,30 ,35, 40 ,45 ,50 X2: 4 ,8, 12 ,16 ,20, 24 ,28 ,32, 36 ,40