World Military Expenditure The following chart shows total military and arms trade expenditure from 1992-2010 (t=t$ (billion)1200 11502 4==World military expenditure1050 1050 11006f(t) -4t² - 56t 1,300-1200f(t)f(t) = 4t² - 56t+ 1,3004t² 56t 1,3001350(a) If you want to model the expenditure figures with a function of the form f(t) = at² + bt + c, would you expect the coefficient a to be positive or negative? Why? HINT [See "Features of aParabola" in this section.]We would expect the coefficient to be negative because the curve is concave down.We would expect the coefficient to be positive because the curve is concave down.We would expect the coefficient to be positive because the curve is concave up.We would expect the coefficient to be negative because the curve is concave up.14508 10 12 14 16 18 20Year since 1990(b) Which of the following models best approximates the data given? (Try to answer this without actually computing values.)f(t) = −4t² - 56t+ 1,300160017500 represents 1990). (c) What is the nearest year that would correspond to the vertex of the graph of the correct model from part (b)?What is the danger of extrapolating the data in either direction?Extrapolating in the positive direction leads one to predict less and less steeply rising military expenditure, which may or may not occur. Extrapolating in the negative direction predicts lessand less steeply increasing military expenditure as we go back in time, contradicting history.Extrapolating in the positive direction leads one to predict more and more steeply rising military expenditure, which may or may not occur. Extrapolating in the negative direction predictsmore and more steeply increasing military expenditure as we go back in time, contradicting history.Extrapolating in the positive direction leads one to predict less and less steeply rising military expenditure, which may or may not occur. Extrapolating in the negative direction predicts moreand more steeply increasing military expenditure as we go back in time, contradicting history.Extrapolating in the positive direction leads one to predict more and more steeply rising military expenditure, which may or may not occur. Extrapolating in the negative direction predictsless and less steeply increasing military expenditure as we go back in time, contradicting history.

Question

World Military Expenditure The following chart shows total military and arms trade expenditure from 1992-2010 (t=t$ (billion)1200 11502 4==World military expenditure1050 1050 11006f(t) -4t² - 56t 1,300-1200f(t)f(t) = 4t² - 56t+ 1,3004t² 56t 1,3001350(a) If you want to model the expenditure figures with a function of the form f(t) = at² + bt + c, would you expect the coefficient a to be positive or negative? Why? HINT [See &#34;Features of aParabola&#34; in this section.]We would expect the coefficient to be negative because the curve is concave down.We would expect the coefficient to be positive because the curve is concave down.We would expect the coefficient to be positive because the curve is concave up.We would expect the coefficient to be negative because the curve is concave up.14508 10 12 14 16 18 20Year since 1990(b) Which of the following models best approximates the data given? (Try to answer this without actually computing values.)f(t) = −4t² - 56t+ 1,300160017500 represents 1990). (c) What is the nearest year that would correspond to the vertex of the graph of the correct model from part (b)?What is the danger of extrapolating the data in either direction?Extrapolating in the positive direction leads one to predict less and less steeply rising military expenditure, which may or may not occur. Extrapolating in the negative direction predicts lessand less steeply increasing military expenditure as we go back in time, contradicting history.Extrapolating in the positive direction leads one to predict more and more steeply rising military expenditure, which may or may not occur. Extrapolating in the negative direction predictsmore and more steeply increasing military expenditure as we go back in time, contradicting history.Extrapolating in the positive direction leads one to predict less and less steeply rising military expenditure, which may or may not occur. Extrapolating in the negative direction predicts moreand more steeply increasing military expenditure as we go back in time, contradicting history.Extrapolating in the positive direction leads one to predict more and more steeply rising military expenditure, which may or may not occur. Extrapolating in the negative direction predictsless and less steeply increasing military expenditure as we go back in time, contradicting history.

Accepted Answer

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