Question

The average walking speed r of a person living in a population P in thousands is modeled by the function, r(p) = 0.37 ln p + 0.05, where r is in feet per second. The population of Wilkes-barre is 48,000. Find the average walking speed of people living in Wilkes-barre

Answer 1

The average walking speed is 1.48 feet per second

Explanation:

we have

`r(p)=0.37ln(p)+0.05`

where

r is average walking speed

p is the population in thousands

In this problem we have

`p=48,000/1,000=48` ----> because p in the equation is in thousands

substitute the value of p in the equation

`r(p)=0.37ln(48)+0.05`

using a calculator

`r(p)=1.48\ ft/sec`