In Exercises 41–44, write a function in slope-intercept form whosegraph satisfies the given conditions.41. Slope = -2, passing through (-4, 3)42. Passing through (-1, –5) and (2, 1)43. Passing through (3, -4) and parallel to the line whoseequation is 3x - y - 5 = 044. Passing through (-4, -3) and perpendicular to the linewhose equation is 2x – 5y – 10 = 0

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Answered: In Exercises 41–44, write a function in…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter3: Linear And Nonlinear Functions

Section: Chapter Questions

Problem 26MCQ

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Later High School Graduates This is a continuation of Exercise 16. 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 2001 2.85 2003 2.98 2005 3.11 2007 3.24 a. Find the slope of the linear function modeling high school graduations, and explain in practical terms the meaning of the slope. b. Find a formula for a linear function that models these data. c. Express, using functional notation, the number graduating from high school in 2008, and then calculate the value. d. The actual number graduating from high school in 1994 was about 2.52 million. Compare this with the value given by the formula in part b and with your answer to part of Exercise 16. Which is closer to the actual value? In general terms, what was the trend in high school graduations from 1985 to 2007? 16. High School Graduates The following table shows the number, in millions, graduating from high school in the United States in the given year.16 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.
Find the value of x between the points ( − 3, 2) and (x, 6) with slope 2/5.
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.
Estimate the slope of the graph at the points (x1, y1) and (x2, y2). At (x1, y1), slope = At (x2, y2), slope =
A line with a slope of -2 is written in the form y=mx+by=mx+b. What is the value of bb if the line passes through the point (5,−7)?
Write an equation for a linear function whose graph has the given characteristics slope 3, y-intercept (0,19) f(x) = ?
Data were collected from librarians about their reading habits and job experience. The results were used to calculate the model ŷ = 3.84x + 9.85, where x represents the number of years working as a librarian and ŷ represents the predicted number of books read per year. Interpret the slope of the model in the context of the problem. Approximately 10 librarians read between 3 and 4 books each. Approximately 4 librarians read 10 books each. For every additional year working, librarians are predicted to read between 3 and 4 more books per year. For every additional year working, librarians are predicted to read more than 9 more books per year.
A function is given below. What is the slope of the curve, y, at the point (-3, -11)? y=3x^3-3x^2-24x+25

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