The relation between the average walking speed and city size for $36$ selected cities of population less than $1,000,000$ has been modeled as $v(s)=0\mathrm{.}083in(p)0\mathrm{.}42$ meters per second

where $$ is the population of the city, $t$

$($a$)$ What is the average walking speed in a city with a population of $300,000?($Round your answer to one decimal place.$)\frac{m}{s}$

$($b$)$ Does a city with a population of $1000$ have a faster or slower average walking speed than a city with a population of $100,000?$

faster

slower

$($c$)$ Give possible reasons for the results of the walking speed research.

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