Question

On a bicycle, Esmeralda rides for 2 hours and is 12 miles from her house. After riding for 9 hours, she is 47 miles away.

Answer 1

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:

$AVR=\frac{y2-y1}{x2-x1}$

Substituting values:

$AVR=\frac{47-12}{9-2}$

Rewriting:

$AVR=\frac{35}{7}$

$AVR = 5$

Answer:

Esmeralda's average rate during her trip is 5 miles per hour.