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. what is esmeralda's average rate during her trip?

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:

Substituting values:

Rewriting:

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