Question

The following graph shows the temperature of a patient in a hospital, recorded every hour.
(a) What was the patient's temperature at $1\text{p.m.}$?
(b) When was the patient's temperature ${38.5}^{\circ }\text{C}$?
(c) The patient's temperature was the same two times during the period given.
What were these two times?
(d) What was the temperature at $1.30\text{p.m.}$? How did you arrive at your answer?
(e) During which periods did the patient's temperature showed an upward trend?

Answer 1

In the graph, $x-$axis represents the time and $y-$axis represents the temperature of the patient.

Scale :

On $x-$axis $1$ cm $=1\text{hr}$

On $y-$axis $1$ cm $=1{}^{\circ }\text{C}$

Steps:

1) To find the temperature at particular time:

Trace the vertical line parallel to $y-$axis passing from the time point on $x-$axis, find the point where this vertical line intersects the graph.

Now from that point trace a horizontal line parallel to x-axis, this line intersects the $y-$axis at required point.

2) To find the time at particular temperature:

Trace the horizontal line parallel to $x-$axis passing from the temperature point on $y-$axis, find the point where this horizontal line intersects the graph.

Now from that point trace a vertical line parallel to $y-$axis, this line intersects the $x-$axis at required point.

Now,

a) Follow step 1 to find temperature corresponding to time $1\text{pm}$ , you get point between $36$ to $37$ which is ${36.5}^{\circ }\text{C}$

b) Follow step 2 from point between $38-39$ i.e. ${38.5}^{\circ }\text{C}$, we get corresponding point on $x-$axis which is $12$ noon.

c) In the graph we see ${36.5}^{0}C$ is the temperature which is same. Follow step 2 to get corresponding times which is $1^{\circ }$ and $2\text{pm}$.

d) temperature at $1:30\text{pm}$ is ${36.5}^{0}C$, since we know from (c) temperature is same between interval $1\text{pm}$ to $2\text{pm}$.

e) To show upward trend graph continues with positive slope, we have $9-10,10-11$, and $2-3$ time interval where slope is positive. so patient's temperature showing upward trend in $9-11\text{am}$ and $2-3\text{pm}$ interval.