enshot 2022-01-13 6.01.46 PM.pngQ | 2 非 % |ちeThe table below shows the number of years since 2010 and the price of milk.Part AIdentify the slope. Describe what the slope means in the context of the problem.Years since 2010 (t)Price of Milk P(t)田=B IUS x, x$3.27$3.36FontSize-AAに:,,4.$3.406.$3.507.$3.449$3.51P(t) =.03t +3.26 represents the relationship between the years, t, since 2010 and the price ofmilk, P(t).Sign out9O 6:03 Part BThe correlation coefficient for the data in the table isr=0.9282. Interpret the correlation coefficient in terms of the model.US X, x"FortSizeWond couPart CUsing the model, approximate the price of a gallon of milk in the year 2023.US XFortSize

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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.7: Inverses Of Linear-functions

Problem 50PFA

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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%?
Neurology The average weight of a male child’s brain is 970 grams at age 1 and 1270 grams at age 3. (a) Assuming that the relationship between brain weight y and age t is linear, write a linear model for the data. (b) What is the slope and what does it tell you about brain weight? (c) Use your model to estimate the average brain weight at age 2. (d) Use your school’s library, the Internet, or some other reference source to find the actual average brain weight at age 2. How close was your estimate? (e) (d) Do you think your model could be used to determine the average brain weight of an adult? Explain.
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
High School Graduates The following table shows the number, in millions, graduating from high school in the United States in the given year. Year Number graduating in millions 1985 2.83 1987 2.65 1989 2.47 1991 2.29 a. By calculating difference, show that these data can be modeled using a linear function. b. What is the slope for the linear function modeling high school graduations? Explain in practical terms the meaning of the slope. c. Find a formula for a linear function that models these data. d. Express, using functional notation, the number graduating from high school in 1994, and then use your formula from part c to calculate that value.
2) A consumer advocate made a linear equation of the data using the 2002 price as a starting value and the 2009 price as a second data point. What is the advocate’s equation? Use (Pa) for the price per month and (t) for time in years since 2002. Round the slope to the nearest hundredth.
The number of hours of video uploaded to YouTube per minute is shown in the table below. Year # of hours of video uploaded per minute 2007 6 2008 10 2009 20 2010 24 2011 48 2012 60 2013 100 Let y be the video upload rate at x years since 2005. Construct a scatterplot by hand. Is the relationship linear or exponential? Increasing or decreasing? Write an equation modeling the number of hours of video uploaded per minute if the initial number of hours is 2.6 and it increases by 59%. Use your equation to find the number of hours uploaded in 2015.
1. What does the value of the slope in our linear model, 143.24, represent? (Yes, it represents rate of change, but be more descriptive. What quantity is changing, and how is it changing? 2.Based on the value of R^2, would this seem to be an accurate or inaccurate model for the data? why
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The table below shows the number of years since 2010 and the price of milk. Years since 2010 (t) Price of Milk P(t) 1. $3.27 3 $3.36 4. $3.40 6. $3.50 7. $3.44 9. $3.51 P(t) =.03t + 3. 26 represents the relationship between the years, t, since 2010 an milk, P(t). !!