Answer:
C. 5.2°F per month
Step-by-step explanation:
The average rate of change refers to the relation between these variables.
Specifically, this problem can be modeled by a linear function, where the slope is the average rate of change.
So, such rate can be defined as
[tex]r=\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]
Where [tex](x_{1} ,y_{1} )[/tex] is the first pair and [tex](x_{2} ,y_{2} )[/tex] is the second one.
In this case, the first pair is [tex](3,66.8)[/tex] and the second pair is [tex](6,82.4)[/tex]. Replacing these coordinates, we have
[tex]r=\frac{y_{2}-y_{1} }{x_{2} -x_{1} }=\frac{82.4-66.8}{6-3}=\frac{15.6}{3}=5.2[/tex]
Which is expressed in Fahrenheit.
Therefore, the average rate of change is 5.2 °F.
This can be interpreted as "The temperature changes +5.2 °F each month between March 15 and June 15".
