We appreciate your visit to 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. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Final answer:
The patient's temperature reaches its maximum value 12.3 hours after the illness begins.
Explanation:
To determine when the patient's temperature reaches its maximum value, we need to find the vertex of the quadratic function. The vertex of a quadratic function in the form y = ax^2 + bx + c is given by the formula x = -b/2a.
In this case, the quadratic function is T(t) = -0.025t^2 + 0.615t + 98.2. We can see that a = -0.025 and b = 0.615. Plugging these values into the formula, we get x = -0.615 / (2 * -0.025) = 12.3.
Therefore, the patient's temperature reaches its maximum value 12.3 hours after the illness begins.
Learn more about maximum value of a quadratic function here:
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