2. The table below shows the U.S population for the years 1970-2000: Year 1980 1990 2000 2010 Ppoulation (in millions) 100 160 210 200 Find cubic polynomial (polynomial of degree 3) that fits the data.
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- The question is attached. Please answer the question as soon as possible. Please provide a complete mathematical reasoning for your answer.1. Biologists conducted a 20-year study of fruit bat populations in a small African country. The polynomial function p(x) models the fruit bat population from the year 1990 (when x = 0) to the ASsignment Remember Write The formula for average rate of change is (a, b). The expression b-a represents the change in the input of the function f. The expression f(b) – f(a) represents the change in the function f as the input changes form a to b. f(b) – fla) b-a for an interval own words. Practice year 2010 (when x = 20). 200 160 welveR 120 p(x) 80 40 4 9. 8. 10 12 14 16 18 20 -0)16 geo1 Time Since 1990 (years) a. Determine the intervals over which the fruit bat population increased. b. Determine the intervals over which the fruit bat population decreased. c. During the 20-year study, a law was passed that banned the use of a pesticide known to be harmful to the fruit bat. Predict the year in which the law was passed. Explain your reasoning. d. During the 20-year study, a logging company…75. Balance of payments: The graph shown represents the balance of payments (surplus versus deficit) for a large county over a 9-yr period. Use it to answer the following: a. What is the minimum possible degree polynomial that can model this graph? b. How many years did this county run a deficit? c. Construct an equation A Balance 10 (10,000s) model in factored form and in polynomial form, adjusting the lead coefficient as needed. How large was the deficit in year 8? 8 6 2 -6 -8 10 (9.5.-6) Year 2 3 4 5 6 7 8 9 10
- The table shows the U.S. populations for the years 1970, 1980, 1990, and 2000. (Source: U.S. Census Bureau)(a) Find a cubic polynomial that fits the data and use it to estimate the population in 2010. (b) The actual population in 2010 was 309 million. How does your estimate compare?2. The number of bacteria in a Petri dish increases by 18% every hour. If there were initially 200 bacteria placed in the Petri dish, which function can be used to determine the number of bacteria in the Petri dish in y = 200 (0.82)* exactly x hours? y = 200 (1.18)" y = 200 (1.82)* 200 (0.18)"The population growth of a city during a ten year period is shown in the table. Population Growth (hundreds of people) |-10 Year 1990 1991 1992 1993 1994 1995 1996 1997 1998 -4 |-6 20 60 126 224 360 1999 2000 a) Sketch a graph of the data, using the years since 1990 as the values of the independent variable. b) If x represents the number of years since 1990 (with 1990 being year 0), write the polynomial function that models the data. c) Explain the trends in population growth of the city.
- 6. 2. Quiz #7 Consider the following graph of a polynomial: -4 -2 4. 0. - -0- -20 Write the factored form of the equation of the most appropriate polynomial. Submit AssignrWhat is the characteristics of the asymptotes of Linear, quadratic, and exponential functions. What is the characteristics of the end behavior of a linear function.esttaker/viewtest.html Unit 4 1 * Text-to-Speech 1. Classify the following polynomial by degree and by the number of terms 3 7x + 2x+ 3x + 9 ' A. cubic trinomial B. linear binomial C. cubic polynomial D. quadratic trinomial E. quadratic polynomial Powered by Linklt! 100%