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On a particular day in Salt Lake, UT, the temperature was given by -t^2 + 12t + 50 where t  is the time in hours past noon. What is the largest t value at which the temperature was exactly 85 degrees?

 Oct 21, 2020
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To solve this, we can set the equation up as \(-t^2+12t+50=85\).

Solving this equation we get:

 

\(-(t^2-12t+35)=0 \)

\(-(t-7)(t-5)=0\)

To get

\(t=7, t=5\)

 

The largest t value will be 7

 Oct 21, 2020

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