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

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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) About Me  (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