The following table shows the fuel efficiency, in miles per gallon, for all U.S. autos since 1940.Table 2:t (years)y = f(t)1940 1950 1960 1970 1980 1990 200014.8 13.9 13.4 13.5 15.9 20.2 22.0Find the average rate of change between 1960 and 1980.Select one:O 1.25 mpg/yearO 0.125 mpg/yearO 0.125 mpg/yearO 2.5 mpg/year

Answered: Image /qna-images/answer/b045aacd-35b7-40e2-b879-c01485609f5b.jpg

Answered: The following table shows the fuel…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Consider the function. What is the approximate average rate of change of the function from x=−4x=−4 to x=2?x=2?
The figure below shows a particle's distance from a point as a function of time, t. What is the particle's average velocity from t = 0 tot = 3? distance (meters) s(t) 3 1 t (sec) 2 Round your answer to the nearest integer. The particle's average velocity from t = 0 tot = 3 is i meter(s)/sec.
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QUESTION 7 Read the situation below and determine whether it is linear or exponential. If linear, find and interpret the rate of change. If exponential, find and interpret the percent change. Approximate if needed. The common ratio for the home prices in an Austin neighborhood is 1.08 every year for the past five years. For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). B IUS Paragraph Arial V 10pt ✓ ✓ A✔ AV T X Q 5 è E
Does prison really deter violent crime? Let x represent percent change in the rate of violent crime and y represent percent change in the rate of imprisonment in the general U.S. population. For 7 recent years, the following data have been obtained. x 6.5 5.8 4.3 5.2 6.2 6.5 11.1 y −1.3 −4.4 −7.8 −4.0 3.6 −0.1 −4.4 Find the value of the coefficient of determination r2. What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? What percentage is unexplained? (Round your answer for r2 to four decimal places. Round your answers for the percentages to two decimal place.) r2 = explained % unexplained % Considering the values of r and r2, does it make sense to use the least-squares line for prediction? Explain your answer. A) The correlation between the variables is so low that it makes sense to use the least-squares line for prediction. B) The correlation between the variables is so…

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