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Chapter 2: Problem 21

Find a function \(k\) such that \(k(m)\) is the number of kilometers in \(m\) miles.

Short Answer

Expert verified
The function to find the number of kilometers in \(m\) miles is \(k(m) = 1.60934m\).

Step by step solution

01

Identifying the conversion factor

We are given that 1 mile is approximately equal to 1.60934 kilometers. This means that the conversion factor between miles and kilometers is 1.60934.
02

Writing the function

Let's write the function \(k(m)\), where \(m\) represents the number of miles. To convert miles to kilometers, we multiply the number of miles by the conversion factor: \(k(m) = m \times 1.60934\)
03

Simplify the function

Since our function is straightforward, there is no further simplification needed. The function to find the number of kilometers in \(m\) miles is: \(k(m) = 1.60934m\) Now, you can use this function to find the number of kilometers for any given number of miles. Just replace \(m\) with the desired number of miles and calculate the result.

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