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:

Question

.Use your calculator to graph the function and answer the following questions. Round all answers to 1 decimal place.

When does the patient's temperature reach it maximum value? Answer: After hours or °F

What is the patient's maximum temperature during the illness? Answer: hours or °F

Answer 1

Graphing this function on a calculator, I see a maximum at about (10.9, 99.7). Since T is temperature and t is hours, and we're looking at temperature of certain hours, we have T(t). T is y and t is x. Therefore, the max means that at about 10.9 hours, the max temperature is 99.7 degrees.

I hope this helps! If you have trouble seeing the graph, think about your window: For x, the hours, you need to see at least 0-24. Give a little more room by setting the x part of your window from 0 to 30. For y, think about what your body temperature might be normally and with a fever. Try a range of 0-110 to see it well.

I hope that helps!

Have fun mathing, and let me know if you have any questions!

Liz Z.