6.
[tex]T(I(h))= \sqrt{5000( \frac{12h-h^2}{36} )}[/tex]
Since, function I stated that hours, h, pertains to the hours after 6am, and the question asks what is the temperature by 2pm, we will have h=8 because 2pm is 8 hours after 6am.
So,[tex]T(I(h))= \sqrt{5000( \frac{12(8)-(8)^2}{36} )}
T(I(h))= \sqrt{5000( \frac{96-64}{36} )}
T(I(h))= \sqrt{5000( \frac{32}{36} )}
T(I(h))= \sqrt{ \frac{40000}{9} }
T(I(h))=66.6666 or 67[/tex]
so the answer is (3), 67.
