SOLUTION: The average walking speed 𝑤, in feet per second, of a person living in city of population 𝑃, in thousands, is given by the function: 𝑤(𝑃) = 0.37 ln

Algebra.Com
Question 1079586: The average walking speed 𝑤, in feet per second, of a person living in city of population 𝑃, in thousands, is given by the
function: 𝑤(𝑃) = 0.37 ln 𝑃 + 0.05
a. The population of Wichita, Kansas, is 353,823. Find the average walking speed in miles per hour. Round to the tenth.
b. If a city has an average walking speed of 3.4 ft/sec, find the city’s population. Round to the whole number.

Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
𝑤(𝑃) = 0.37 ln(3538.23) + 0.05
=3.073 or 3.1 ft/sec
====================
3.4=0.37*ln P+0.05
3.35/0.37=ln P
9.054=ln P
now raise both sides to the e power, which removes the ln.
8553.14 thousands or 855,314

RELATED QUESTIONS

The average walking speed R of a person living in a city of population P in thousands is... (answered by ikleyn)
a person drives at a speed of 64 miles per hour. What is the driving speed in feet per... (answered by solver91311)
A person riding a Ferris Wheel travels once around the wheel, a distance of 159 feet, in... (answered by Alan3354)
The formula A = 201e0.021t models the population of a particular city, in thousands, t... (answered by checkley77,jsmallt9)
The function A=130e^0.033t models the population of a particular city, in thousands, t... (answered by nerdybill)
The formula A = 184e0.038t models the population of a particular city, in thousands, t... (answered by ankor@dixie-net.com)
The famuls A = 200e ^ (0.033t) models the Population of a particular city, in thousands,... (answered by josgarithmetic)
Compare the two functions described below. Function 1: Originally there were 40 people (answered by MathLover1)
a truck driver drives from city A to city B in 5hr at a certain average speed and drives... (answered by ankor@dixie-net.com)