Question

I have a word problem I need help with I will include a picture

Answer 1

The given function is,

`T=-0.023t^2+0.5014t+97.5`

The time t when the patient's temperature reache the maximum,

`\begin{gathered} (dT)/(\differentialDt t)=0 \\ -0.046t+0.5014=0 \\ t=(0.5014)/(0.046) \\ t=10.9\text{ hr} \end{gathered}`

Thus, the patient's temperature is maximum at after 10.9 hours.

The patient's maximum temperature can be determined as,

`\begin{gathered} T(10.9)=-0.023(10.9)^2+0.5014(10.9)+97.5 \\ =100.23 \end{gathered}`

Thus, the maximum temperature is 100.23 degree Farenheit.