A homeowner collects data about the amount of oil 4, in gallons, used to heat the house per month for 5 months and the average monthly temperature t, in degrees Fahrenheit, for those months. The scatter plot shows the data. The function A (t) =-1.4t + 96 best fits these data. 1A0 70 60 50 40 30 20 10 10 20 30 40 50 60 70 Temperature (F) Use the function A(t)to determine which of the following statements are true. Select all that apply. The homeowner would use about 82 gallons of oil to heat the house fo a month with an average temperature of 10 F. The homeowner would use about 85 gallons of oil to heat the house tor a month wah an average temperature of 15 "F The homeowner would use about 0 gallons of oil to heat the house for a month with an average temperature of 68.5 F. The homeowner would use about 5 gallons of oil to heat the house for a month with an average temperature of 55 "F. The homeowner would use about 96 gallons of oil to heat the house for a month with an average temperature of 0 E Oil used (gallons)

A homeowner collects data about the amount of oil 4, in gallons, used to heat the house per month for 5 months and the average monthly temperature t, in degrees Fahrenheit, for those months. The scatter plot shows the data. The function A (t) =-1.4t + 96 best fits these data. 1A0 70 60 50 40 30 20 10 10 20 30 40 50 60 70 Temperature (F) Use the function A(t)to determine which of the following statements are true. Select all that apply. The homeowner would use about 82 gallons of oil to heat the house fo a month with an average temperature of 10 F. The homeowner would use about 85 gallons of oil to heat the house tor a month wah an average temperature of 15 "F The homeowner would use about 0 gallons of oil to heat the house for a month with an average temperature of 68.5 F. The homeowner would use about 5 gallons of oil to heat the house for a month with an average temperature of 55 "F. The homeowner would use about 96 gallons of oil to heat the house for a month with an average temperature of 0 E Oil used (gallons)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter3: Straight Lines And Linear Functions

Section3.3: Modeling Data With Linear Functions

Problem 17E: Later High School Graduates This is a continuation of Exercise 16. The following table shows the...

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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.
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