Every year Bloomington has a citywide relay and reports the winning times. Winning relay times 31 30 29 28 27 26 25 24 23 22 21 Year According to the graph, what was the rate of change between 2015 and 2016? minutes per year Winning time (minutes) 2014 2015 2016 2017 2018

Every year Bloomington has a citywide relay and reports the winning times. Winning relay times 31 30 29 28 27 26 25 24 23 22 21 Year According to the graph, what was the rate of change between 2015 and 2016? minutes per year Winning time (minutes) 2014 2015 2016 2017 2018

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter2: Functions And Graphs

Section2.3: Linear Functions And Slope

Problem 89E: Rage of decrease The price of computers has been dropping steadily for the past ten years. If a...

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Rage of decrease The price of computers has been dropping steadily for the past ten years. If a desktop PC cost 6700 ten years ago, and the same computing power cost 2200 three years ago, find the average rate of decrease per year. Assume a straight-line model.
The U.S. Census tracks the percentage of persons 25 years or older who are college graduates. That data forseveral years is given in Table 4[14]. Determine whether the trend appears linear. If so, and assuming the trendcontinues. in what year will the percentage exceed 35%?
When Date Are Unevenly speed. If data are evenly spaced, we need only calculate differences to see whether the data are linear. But if data not evenly spaced, then we must calculate the average rate of change over each interval to see whether the data are linear. If the average rate of changes is constant, it is the slope of the linear function. This fact is used in Exercises 23 and 24. In the following table, show that the average rate of change is the same over each interval. This shows the data are linear, even though the differences in y are not constant. Then find a linear model for the data. x 1 2 5 6 y 7 10 19 22
When Date Are Unevenly speed. If data are evenly spaced, we need only calculate differences to see whether the data are linear. But if data are not evenly spaced, then we must calculate the average rate of change over each interval to see whether the data are linear. If the average rate of change is constant, it is the slope of the linear function. This fact is used in Exercises 23 and 24. In the following table, show that the average rate of change from 2 to 5 is not the same as the average rate of change from 5 to 6. This shows that the data are not linear, even though the differences in y are constant. x 1 2 5 6 y 3 6 9 12
Twins Twins are often born after a pregnancy that lastsless than 9 months. On the next page is a graph from theJournal of the American Medical Association (JAMA)showing the rate of preterm twin births in the United States over the past 20 years. In this study, JAMA catego-rized mothers by the level of prenatal medical care they received: inadequate, adequate, or intensive.a) Describe the overall trend in preterm twin births. b) Describe any differences you see in this trend, depend-ing on the level of prenatal medical care the mother received.c) Should expectant mothers be advised to cut back onthe level of medical care they seek in the hope ofavoiding preterm births? Explain.a) Create a linear model and predict the number ofgallons that will be available in 2005.b) The exam then asked students to estimate the yearwhen leaded gasoline will first become unavailable,expecting them to use the model from part a to answerthe question. Explain why that method is incorrect.c) Create a model…
Examine the graph and consider trips more than 7,000 miles by a Boeing 777. Use a rate of change to estimate how the maximum payload decreases as the distance traveled increases. lb/mi Use same graph submitted for first question.
The graph shows the number of trips taken annually on a certain state's mass transportation system. Find the average rate of change of the number of trips from 1992 to 1995, from 1995 to 2000, and from 1992 to 1998.
The human immunodeficiency virus, or HIV, infects and kills helper T cells. Because T cells stimulate the immune system to produce antibodies, their destruction disables the body’s defenses against other pathogens. By counting the number of T cells that remain active in the body, the progression of HIV can be monitored. The fewer helper T cells, the more advanced the disease. Figure shows a graph that is used to monitor the average progression of the disease. The average number of T cells, f(x), is a function of time after infection, x. a. Explain why f represents the graph of a function. b. Use the graph to find and interpret f(8). c. For what value of x is f(x) = 350? d. Describe the general trend shown by the graph.
2. The graph shows the population of bacteria in a culture. Please help me! A) Determines the average rate of crop variation between the 3rd and 4th hour. B) What does this rate of change mean?
- The management has decided to hire a new marketing director. Based on the table given and the prices staying the same, the volume of sales and the revenue show a decreasing trend. -The interview process requires the candidate to design a plan that will increase the revenue for the following year during the first 3 months. Each monthly revenue should increase by $1,000. The price for each type of fruit should not be increased by more than one dollar. One candidate offers the option to increase the sales amounts in hundreds to the values below. Is this an acceptable opyion? Will the candidate get the job? Sales in Hundreds April May June Stawberries 9 8 6 Apples 10 9 8 Pineapples 6 9 5 Monthly revenue in hundreds
Scenario: Is there a relationship between amount of time at a job (X) and productivity (Y)? The researcher quantified amount of time at a job by ranking the employees from those who had been there the least amount of time to the most. The researcher quantified productivity as rating the employees from "best" to "worst". Question: What is the scale of measurement for variable Y in this scenario? Group of answer choices Nominal Ordinal Scale
Use the graph to estimate the average rate of change of the percentage of new employees from 1994 to 2000, from 2000 to 2006, and from 1994 to 2006.