### Home > CALC > Chapter 7 > Lesson 7.4.4 > Problem 7-213

7-213.

Regina's position along a straight wooden bridge is given by *x =*log*t*, where*x*is measured in feet and*t*is measured in seconds. At*t =*1 she passed her friend Angela who was going the other way, and at*t =*10 she stopped to gaze at the water below. Homework Help ✎Find her average velocity in the interval 1 ≤

*t*≤ 10.At what time in this interval was she traveling at her average velocity?

This is an application of the Mean Value Theorem, which guarantees that, on a closed interval, IROC = AROC somewhere if the function is continuous and differentable.