Answer
Result:
(a) T = 101.8 F
(b) m = 0.9°F/h
(c) No. the patient will die.
Work Step by Step
(a) As we see in the figure, At noon, the patient's temperature was 101.8°F.
(b) To find the slope, we use the following steps:
Firstly, we should take any to points from the graph. Let we take point (11.100.9) and the point (12,101.8).
In order to evaluate the slope of the graph, we use the following relation:
m=$ \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$
Substituting from the previous two point, then we get
$\frac{101.8°F-100.9° F}{12 PM – 11 AM } $= 0.9°F/h.
(c) In the following 12 hours. The patient temperature will be
T= 102.48° F +$\frac{0.9°F}{12}$ = 102.55°F
No, because at this temperature the human body will to alive, the patient
will die at this temperature.
