For this case what we must do is find the speed of Esmeralda.
For this, we look for the rate of change of the function
We have then:
[tex]AVR=\frac{y2-y1}{x2-x1}[/tex]
Substituting values:
[tex]AVR=\frac{47-12}{9-2}[/tex]
Rewriting:
[tex]AVR=\frac{35}{7}[/tex]
[tex] AVR = 5 [/tex]
Answer:
Esmeralda's average rate during her trip is 5 miles per hour.