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12 March, 14:41

The equation yˆ=-0.37x2+6.15x+52.3 approximates the average temperature in October in degrees Fahrenheit at an agricultural community x hours after 5 a. m. What is the best estimate for the average temperature in October at 10 a. m.?

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  1. 12 March, 15:01
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    The best estimate for the average temperature in October at 10 a. m. is 73.8 degrees Fahrenheit.

    Solution:

    Number of hours after 5 a. m.: x

    At 10 a. m.→x=10-5→x=5

    yˆ=-0.37 (5) ^2+6.15 (5) + 52.3

    yˆ=-0.37 (25) + 30.75+52.3

    yˆ=-9.25+30.75+52.3

    yˆ=73.8

    Answer: The best estimate for the average temperature in October at 10 a. m. is 73.8 degrees Fahrenheit.
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