The temperature, T(t), in degrees Fahrenheit, during the day can be modeled by the equation
T(t) = -0.7t2 + 9.4t + 59.3,
where t is the number of hours since 6:00 am.
A. At what time is the temperature the highest? (Round to the nearest minute)
- Cant use any calculus and show all work!
Bea
Favorite Answer
Since it is a quadratic equation with a negative coefficient,
it is a parabola that opens down.
The vertex is the maximum.
The x-coordinate of the vertex is -b/2a.
Note that t is HOURS.
t = -b/2a
t = -(9.4)/2(-0.7)
t = 9.4/1.4 = 6.71 hours = 6 hours 43 minutes
6:00 + 6 hrs 43 min ---> 12:43 PM
Spencer
Use the quadratic function and use the value you obtain that is not negative (you wouldn't have negative time and you wouldn't have a high negative temperature)