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?
+2096 To solve this, we can set the equation up as −t2+12t+50=85.
Solving this equation we get:
−(t2−12t+35)=0
−(t−7)(t−5)=0
To get
t=7,t=5
The largest t value will be 7
