Answer:
C. Maximum: 13°; minimum: −53°; period: 4 hours
Step-by-step explanation:
The function modelling the temperature with respect to time is,

It is required to find the maximum and minimum value of the temperature.
Since, we know,
<em>
for all values of x.</em>
Then,
for all values of t.
Thus, we get,
Maximum value is obtained when 
That is,
,
.
So, maximum temperature is 13°
Minimum value is obtained when 
That is,
,
.
So, minimum temperature is -53°
Also, we have,
<em>If the function f(x) has period P, then the function f(bx) will have period
.</em>
Since,
has period
, then the given function have period
= 4.
So, entire cycle takes 4 hours.
<em>Thus, option C is correct.</em>