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70x - 7,000 The nation o) 110 40 sxs100, models the tax revenue, ). in tens of bilions of dollars, in serms of the ta rate, X. The graph of this function is shown to the right. t illustrates tax revenue decreasing dramatically as the tax rate inoreases. At a tax rate of 100%. the government takes all our money and no one has an incentive to work. With no income earned. zero dollars in tax revenue is generated. Complese parts (a) through (e) below. a. Find f40) 40) -O Round to the nearest integer as needed) Interpret your resut Choose the corect answer below O A. When the tax rate is 40%, 5000 bien in tax revenue is generated OB. When he tax rate is 7%. 5400 bilion in tax revenue is generated OC. Hthe tax rate inoreases 40%, an additional S800 bilion in revetue is generated. OD. Hthe tax rate increases 87%. an additonal 5400 billon in revenue is penerated Identify the solution as a point on the graph. Choose the comect graph below b. Rewrite the funetion by using long division to perform (70x -7,000) - x- 110) (70x - 7.000) - x- 110) -O (Simpity your answer, Ifthere is a remainder, type your answer in he form quotient + e Then use this new form of the unotion to find 40) 40) -ORound to the nearest integer as needed) e. ista polynomial function? Explain your answer Choose the corect ansaer below. Yes. fia a polynomial Sunction because t can be writen in the form fx)- n - 1. * aax + ag. OB. No. fis not a polynomial funcion because the numerator is not fully factored. OC. No. fia net a polynomial funeson because it cannot be writen in the form fx)a -*1.*a+ax+ ag

70x - 7,000 The nation o) 110 40 sxs100, models the tax revenue, ). in tens of bilions of dollars, in serms of the ta rate, X. The graph of this function is shown to the right. t illustrates tax revenue decreasing dramatically as the tax rate inoreases. At a tax rate of 100%. the government takes all our money and no one has an incentive to work. With no income earned. zero dollars in tax revenue is generated. Complese parts (a) through (e) below. a. Find f40) 40) -O Round to the nearest integer as needed) Interpret your resut Choose the corect answer below O A. When the tax rate is 40%, 5000 bien in tax revenue is generated OB. When he tax rate is 7%. 5400 bilion in tax revenue is generated OC. Hthe tax rate inoreases 40%, an additional S800 bilion in revetue is generated. OD. Hthe tax rate increases 87%. an additonal 5400 billon in revenue is penerated Identify the solution as a point on the graph. Choose the comect graph below b. Rewrite the funetion by using long division to perform (70x -7,000) - x- 110) (70x - 7.000) - x- 110) -O (Simpity your answer, Ifthere is a remainder, type your answer in he form quotient + e Then use this new form of the unotion to find 40) 40) -ORound to the nearest integer as needed) e. ista polynomial function? Explain your answer Choose the corect ansaer below. Yes. fia a polynomial Sunction because t can be writen in the form fx)- n - 1. * aax + ag. OB. No. fis not a polynomial funcion because the numerator is not fully factored. OC. No. fia net a polynomial funeson because it cannot be writen in the form fx)a -*1.*a+ax+ ag

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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70x - 7,000 The function f(x) = 40 sxs 100, models the tax revenue, f(x), in tens of billions of dollars, in terms of the tax rate, x. The graph of this function is shown to the right. It illustrates tax revenue decreasing dramatically as the tax rate increases. At a tax rate of 100%, the government takes all our money and no one has an incentive to work. With no income earned, zero x- 110 dollars in tax revenue is generated. Complete parts (a) through (c) below. a. Find f(40). f(40) = (Round to the nearest integer as needed.) Interpret your result. Choose the correct answer below. O A. When the tax rate is 40%, S800 billion in tax revenue is generated. O B. When the tax rate is 87%, $400 billion in tax revenue is generated. O C. If the tax rate increases 40%, an additional $600 billion in revenue is generated. O D. If the tax rate increases 87%, an additional $400 billion in revenue is generated. Identify the solution as a point on the graph. Choose the correct graph below. O A. OB. Oc. OD. 804 80- 80 804 b. Rewrite the function by using long division to perform (70x - 7,000) - (x- 110). (70x - 7,000) - (x- 110) =| remainder (Simplify your answer. If there is a remainder, type your answer in the form quotient + divisor Then use this new form of the function to find f(40). f(40) = (Round to the nearest integer as needed.) c. Is fa polynomial function? Explain your answer. Choose the correct answer below. O A. Yes, fis a polynomial function because it can be written in the form f(x) = a,x" + an - 1x" -1 O B. No, fis not a polynomial function because the numerator is not fully factored. O C. No. fis not a polynomial function because it cannot be written in the form f(x) = a,x" + an-1x"-1+ .. +azx +a1x+ag-
Transcribed Image Text:70x - 7,000 The function f(x) = 40 sxs 100, models the tax revenue, f(x), in tens of billions of dollars, in terms of the tax rate, x. The graph of this function is shown to the right. It illustrates tax revenue decreasing dramatically as the tax rate increases. At a tax rate of 100%, the government takes all our money and no one has an incentive to work. With no income earned, zero x- 110 dollars in tax revenue is generated. Complete parts (a) through (c) below. a. Find f(40). f(40) = (Round to the nearest integer as needed.) Interpret your result. Choose the correct answer below. O A. When the tax rate is 40%, S800 billion in tax revenue is generated. O B. When the tax rate is 87%, $400 billion in tax revenue is generated. O C. If the tax rate increases 40%, an additional $600 billion in revenue is generated. O D. If the tax rate increases 87%, an additional $400 billion in revenue is generated. Identify the solution as a point on the graph. Choose the correct graph below. O A. OB. Oc. OD. 804 80- 80 804 b. Rewrite the function by using long division to perform (70x - 7,000) - (x- 110). (70x - 7,000) - (x- 110) =| remainder (Simplify your answer. If there is a remainder, type your answer in the form quotient + divisor Then use this new form of the function to find f(40). f(40) = (Round to the nearest integer as needed.) c. Is fa polynomial function? Explain your answer. Choose the correct answer below. O A. Yes, fis a polynomial function because it can be written in the form f(x) = a,x" + an - 1x" -1 O B. No, fis not a polynomial function because the numerator is not fully factored. O C. No. fis not a polynomial function because it cannot be written in the form f(x) = a,x" + an-1x"-1+ .. +azx +a1x+ag-
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