The temperature at a state park for one day in june can be approximated by the function t(x) = 0.264x2 - 4.752x + 81 0 ≤ x ≤ 18 where t is degrees fahrenheit and x is the number of hours after 5 pm on friday. what was the lowest temperature reached? round to the nearest whole degree.

  60 °F

Step-by-step explanation:

The function can be put into vertex form:

  T(x) = 0.264(x² -18x) +81 . . . . factor the leading coefficient from 1st 2 terms

Now, we add the square of half the x-coefficient inside parentheses and subtract the same quantity outside parentheses.

  T(x) = 0.264(x² -18x +81) +81 -0.264·81

  T(x) = 0.264(x -9)² +59.616

The low temperature for the day was approximately 59.6 °F, which rounds to 60 °F.

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