The function p(x) = 1.1x^2 + 40 x + 1040 models the amount p(x), in billions of

Question

The function p(x) = 1.1x^2 + 40 x + 1040 models the amount p(x), in billions of dollars that a government spent on human resources x years after 1970.The function q(x) = 12 x^2 + 230 x + 2190 models total budget expenditures, q(x) in billions of dollars x years after 1970 (a) Use p and q to write a rational function that models the fraction of total budget outlays spend on human resources x years after 1970 f(x) = (b) Use the data displayed by the bar graph to find the percentage of expenditures spent on human resources in 2016 %(Round to the nearest percentage as needed.) (c) Use the rational function from part (a) to find the percentage of federal expenditures spent on human resources an 2016

Explanation / Answer

Dear Student Thank you for using Chegg !! Amount spent by govenrment on HR p(x) 11x^2 + 40x +1040 In billion dollars Total Budget expenditure q(x) 12x^2 +230x + 2190 In billion dollars a) Rational function that models fraction of total budget spent on HR x years after 1970 = P(x) / Q(x) (11x^2 + 40x +1040) / (12x^2 +230x + 2190) b) Using bar braph percentage of federal expenditure spent on HR in 2006 Amount spent on HR in 2006 as per HR 1740 billion $ Total Expenditure 2800 billion $ Percentage of amount spent on HR (1740/2800) *100 62.14285714 Solution c) Using rational fnction of part A to calculate percentage in 2006 (x = 36) Percentage= [(11x^2 + 40x +1040) / (12x^2 +230x + 2190)]*100 [(11*36^2 + 40*36 +1040) / (12*36^2 +230*36 + 2190)]*100 64.31481054 Solution

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