a. Using REGRESSION, find a cubic function, y = a x 3 + b x 2 + c x + d , that fits the data. y = 0.000009 x 3 + 0.00082 x 2 + 0.0426 x + 0.347 b. Graph the cubic function. c. Use the cubic function to predict the average price of a movie ticket in 2015 and in 2020. Do these estimates appear reasonable? d. Use the function to predict the year when the average price of a ticket will reach $20. Does this estimate seem reasonable?
a. Using REGRESSION, find a cubic function, y = a x 3 + b x 2 + c x + d , that fits the data. y = 0.000009 x 3 + 0.00082 x 2 + 0.0426 x + 0.347 b. Graph the cubic function. c. Use the cubic function to predict the average price of a movie ticket in 2015 and in 2020. Do these estimates appear reasonable? d. Use the function to predict the year when the average price of a ticket will reach $20. Does this estimate seem reasonable?
Solution Summary: The author explains how to determine the cubic function using regression for the provided data.
8. For x>_1, the continuous function g is decreasing and positive. A portion of the graph of g is shown above. For n>_1, the nth term of the series summation from n=1 to infinity a_n is defined by a_n=g(n). If intergral 1 to infinity g(x)dx converges to 8, which of the following could be true? A) summation n=1 to infinity a_n = 6. B) summation n=1 to infinity a_n =8. C) summation n=1 to infinity a_n = 10. D) summation n=1 to infinity a_n diverges.
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13: If the perimeter of a square is shrinking at a rate of 8 inches per second, find the rate at which its area is changing when its area is 25 square inches.
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11: A rectangle has a base that is growing at a rate of 3 inches per second and a height that is shrinking at a rate of one inch per second. When the base is 12 inches and the height is 5 inches, at what rate is the area of the rectangle changing?
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