For Exercises 9-14, from memory match the equation with its graph. 9. f(x) = Vĩ 10. f(x) = VI 11. f(x) = x 12. f(x) = x 13. f(x) = |x| 1 14. f(x) = а. b. с. 5- 4 4 3 3 2 2 2 14 1- 3-2-1 2 3 4 5 3-2-V 1 2 3 4 5 -1 5-4 2 3 4 5 2-1 1 1- -2 -3 4 d. е. f. 4- 4- 4 3 3 3 21 2 2 1 -1 1 2 3 4 5 2 3 -3-2-1 -3-2-1 1 2 3 4 12 2 3 2 -3 4 स
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- Suppose that Evelyn’s utility function is given as: U(x,y) = xyEvelyn has an income of Php 100. For simplicity purposes, the prices of both goods are equal to one. Suppose that because of President Beybiem’s failed policy to control prices, the price of good x increases to Php 2.00. To do damage control of the failed policy, the Department of Social Welfare and Social work was tasked to calculate how much should the people, including Evelyn, be compensated. (Hint: Use Evelyn’s expenditure function E(p,U).The median size of a new single-family house built in the United States between 1987 and 2001 can be modeled by the equation H(x) = 0.359x3 − 15.198x2 + 221.738x + 862.514 square feet where x is the number of years after 1980. 1. Determine the value of x in the domain 7 ≤ x ≤ 21 for which the median house size was increasing least rapidly. (Round your answer to three decimal places.) 2. Thus, in which year was the median house size was increasing least rapidly? 3. Find the corresponding house size. (Round your answer to one decimal place.) 4. Find the corresponding rate of change in house size. (Round your answer to three decimal places.)Total net shipments of aluminum (in billions of pounds) are approximated by g(x)=16.2+2.86ln(x+1) where x=0 corresponds to year 1990. A) How many pounds of Aluminum were shipped in 2004 B) Assuming the continued accuracy of the model when will aluminum shipments reach 247,400,000,000 pounds.
- Suppose the percent of males who enrolled in college within 12 months of high school graduation is given by y =-0.126x+55.72 and the percent of females who enrolled in college within 12 months of high school graduation is given by y=0.73x+39.7, where x is the number of years after 1960. Use graphical methods to find the year these models indicate that the percent of females equaled the percent of males.The growth of bacteria in food products makes it necessary to time-date some products (such as milk) so that they will be sold and consumed before the bacteria count is too high. Suppose for a certain product that the number of bacteria present is given byƒ(t) = 500e0.1t,under certain storage conditions, where t is time in days after packing of the product and the value of ƒ(t) is in millions. (a) If the product cannot be safely eaten after the bacteria count reaches 3000 million, how long will this take?(b) If t = 0 corresponds to January 1, what date should be placed on the product?Total net shipments of aluminum (in billions of pounds) are approximated by g(x) = 16.2 + 2.86 In(x + 1) where x=0 corresponds to year 1990 a) How many pounds of aluminum were sipped in 2004? b) Assuming the continued accuracy of the model, when will aluminum shipments reach 27,400,000,000 pounds?
- The planning department of Abstract Office Supplies has been asked to determine whether the company should introduce a new computer desk next year. The department estimates that $6,000 of new manufacturing equipment will need to be purchased and that the cost of constructing each desk will be $150. The department also estimates that the revenue from each desk will be $450. Determine the revenue function R(x) from the sale of x desks.Suppose that t years from now, one investment plan will be generating profit at the rate of P1(t)=110+t2 hundred dollars per year, while a second investment will be generating profit at the rate of P2(t)=206+4t hundred dollars per year. Compute the net excess profit assuming that you invest for the time period in which the rate of profitability of the second investment exceeds that of the first.The bar graph shows the number of fatal vehicle crashes per 100 million miles driven for drivers of various age groups.25-year-old drivers areinvolved in 4.1 fatal crashes per 100 million miles driven. Thus, when a group of 25-year-old Americans have driven a total of 100 million miles, approximately 4 have been in accidents in which someone died.The number of fatal vehicle crashes per 100 million miles, y, for drivers of age x can be modeled by the formulay = 0.013x2 - 1.19x + 28.24.Use the formula above and the bar graph.What age groups are expected to be involved in 10 fatal crashes per 100 million miles driven? How well does the formula model the trend in the actual data shown by the bar graph?