Question

The average walking speed R of a person living in a city of population P is modeled by the function, R(P)=0.37lnP+0.05, where R is in feet per second. The population of Newport News is 162,000. Find the average walking speed of people living in Newport News.

Answer 1

Let's begin by identifying key information given to us:

The average working speed of a person is given by:

$R\mleft(P\mright)=0.37\cdot lnP+0.05$

Population (Newport News), P = 162,000

The average walking speed of the people is calculated as shown below:

$\begin{gathered} R\mleft(P\mright)=0.37\cdot lnP+0.05 \\ P=162,000 \\ R(162,000)=0.37\cdot ln(162,000)+0.05_{} \\ R(162,000)=4.438+0.05=4.488\approx4.5 \\ R(162,000)=4.5ft\text{/s} \end{gathered}$