TutorialThe table below shows the distance y, in miles, traveled by a toy car in x minutes:
question 1: The table below shows the distance y, in miles, traveled by a toy car in x minutes: Part A: What is the most likely value of the correlation coefficient of the data in the table? Based on the correlation coefficient, describe the relationship between time and distance traveled by the toy car. (4 points)[Choose the value of correlation coefficient from 1, 0.8, 0.5, 0.02]Part B: What is the value of the slope of the graph of distance versus time, and what does the slope represent? (3 points)Part C: Does the data in the table represent correlation or causation? Explain your answer. (3 points)question 2A restaurant has x floors. The number of tables on each floor is 4 less than the number of floors. The number of chairs with each table is 1 less than the number of tables on each floor. The expression below shows the total number of chairs in the restaurant:x(x 4)(x 5)Part A: What does x(x 4) represent? (4 points)Part B: What type of polynomial is x(x 4)(x 5)? (3 points)Part C: What is the degree of the polynomial x(x 4)? (3 points)question 3A right triangle has base (x 7) units and height (2x 10) units.Part A: What is the square of the length of the hypotenuse of the triangle? Show your work. (4 points)Part B: What is the area of the triangle? (3 points)Part C: Using the solution obtained in Part B, explain the closure property of multiplication of polynomials. (3 points)question 4(08.01, 08.02, 08.03, 08.05, 08.06)Part A: Factor 3x2y2 xy2 2y2. Show your work. (3 points)Part B: Factor x2 + 6x + 9. Show your work. (3 points)Part C: Factor x2 25. Show your work. (2 points)Part D: Do the polynomials in parts A, B, and C have a common factor? Explain your answer. (2 points)question 5Kim is studying the sale of a particular brand of cereals from the year 2000 to 2010. She writes the following function to model the sale of the cereal S(t), in million dollars, after t years:S(t) = t2 + 7t + 69Part A: What does the y-intercept of the graph of the function represent? (4 points)Part B: What is the reasonable domain of the graph of the function? (3 points)Part C: What is the average rate of change of the sale of the cereal from the first year to the fourth year? Show your work. (3 points)question 6The following function represents the profit P(n), in dollars, that a concert promoter makes by selling tickets for n dollars each:P(n) = -250n2 + 2,500n 4,000Part A: What are the zeroes of the above function, and what do they represent? Show your work. (4 points)Part B: Find the maximum profit by completing the square of the function P(n). Show the steps of your work. (4 points)Part C: What is the axis of symmetry of the function P(n)? (2 points)question 7The area of a rectangular piece of land is 280 square meters. If the length of the land was 5 meters less and the width was 1 meter more, the shape of the land would be a square.Part A: Write an equation to find the width (x) of the land. Show the steps of your work. (5 points)Part B: What is the width of the land in meters? Show the steps of your work. (5 points)
AnswerAlgebra help