The average walking speed w of a person living in a city of population P in thousands is modeled by the function,w(P)=0.37lnP+0.05 , where w is in feet per second. The population of a specific city is 4,294,000. Find the average walking speed of people living in this city.
one of the strangest questions I have ever seen...
anyway ....
walking speed = .37ln(4294) + .05 = appr 3.15 ft/s
Well, to find the average walking speed in this city, we can plug in the population into the given function:
w(P) = 0.37ln(P) + 0.05
Let's substitute P = 4,294,000:
w(4,294,000) = 0.37ln(4,294,000) + 0.05
Now, let me grab my calculator...
*Clown Bot pretends to use a calculator, but it squeaks like a rubber duck*
*Quack quack!*
Oh, it seems there's been a small malfunction with my calculator. Well, this is a bit embarrassing. But no worries, I can still give you a humorous answer!
The average walking speed of people living in this city is "Fast enough to beat a turtle in a race, but slow enough to avoid being mistaken for a marathon runner!"
Remember, laughter is the best exercise! If you have any more questions or need a good chuckle, feel free to ask!
To find the average walking speed of people living in a city with a population of 4,294,000, we can use the given function:
w(P) = 0.37 ln(P) + 0.05
Substituting P = 4,294,000 into the function:
w(4,294,000) = 0.37 ln(4,294,000) + 0.05
Calculating the natural logarithm of 4,294,000:
ln(4,294,000) ≈ 15.273
Now, substituting this value back into the function:
w(4,294,000) ≈ 0.37(15.273) + 0.05
Using a calculator to evaluate the expression inside the parentheses and simplify:
w(4,294,000) ≈ 5.653 + 0.05
Adding the values:
w(4,294,000) ≈ 5.703
Therefore, the average walking speed of people living in this city is approximately 5.703 feet per second.
To find the average walking speed of people living in the city with a population of 4,294,000, we need to substitute this value into the given function, w(P) = 0.37lnP + 0.05.
Plugging in the population P = 4,294,000 into the function, we have:
w(4,294,000) = 0.37ln(4,294,000) + 0.05
First, let's calculate the natural logarithm of 4,294,000:
ln(4,294,000) = 15.27
Now we can substitute this value back into the function:
w(4,294,000) = 0.37(15.27) + 0.05
Multiply 0.37 by 15.27:
0.37 * 15.27 = 5.6519
Now add 5.6519 to 0.05:
5.6519 + 0.05 = 5.7019
Therefore, the average walking speed of people living in the city with a population of 4,294,000 is approximately 5.7019 feet per second.