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Answer :
The patient's maximum temperature during the illness is 101.98° F and the temperature is after 12.3 hours.
Given that:
A patient has an illness that typically lasts about 24 hours.
The temperature, T, in degrees Fahrenheit, of the patient t hours after the illness begins is given by:
T(t) = -0.025t² + 0.615t + 98.2
The graph is given below.
The maximum value of the function is at the vertex.
The patient's maximum temperature will be at the t in the vertex.
t = -b/2a = -0.615/(2 × -0.025)
= 12.3
The maximum temperature is:
T(12.3) = -0.025(12.3)² + 0.615(12.3) + 98.2
= 101.98
Learn more about Quadratic Functions here :
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