The following graph indicates the hourly temperature, in degrees Fahrenheit, in Rochester, New York, from 10 A.M.

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The following graph indicates the hourly temperature, in degrees Fahrenheit, in Rochester, New York, from 10 A.M. through 8 P.M. on Monday, September 8, 2014. The function t(x) = -0.48x2+ 5.0x + 64.38 can be used to estimate the hourly temperature in Rochester, where x is the number of hours since 10 A.M.on September, 8, 2014, and 0 ‰¤ x ‰¤ 10.

(a) Use the function t(x) to estimate the temperature in Rochester at 2 P.M. on September 8, 2014. Round your answer to the nearest degree.

(b) Use the graph to determine the hour that the temperature was a maximum.3 p.m.

(c) Determine the x-coordinate of the vertex of the graph of the function t(x).Then use this value in the function t(x) to estimate the maximum temperature. Round your answer for the vertex to the nearest hour. Round your answer for the temperature to the nearest degree.

Hourly Temprature in Rochester, NY, September 8, 2014

100 50 12 1 2 3 4 5 6 7 Noon P.M. 10 11 A.M. P.M. Hour Temperature (°F)

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A Survey of Mathematics with Applications

ISBN: 978-0134112107

10th edition

Authors: Allen R. Angel, Christine D. Abbott, Dennis Runde

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