1. **Stating the problem:** We are given that 1 kilometer equals approximately 0.621 mile. 2. **Part a:** Write the equation for miles $m$ as a function of kilometers $k$. Since 1 km = 0.621 mile, the number of miles $m$ is proportional to kilometers $k$ by the factor 0.621. The function is: $$m = 0.621k$$ 3. **Part b:** Write the equation for kilometers $k$ as a function of miles $m$. We want to express $k$ in terms of $m$. Since $m = 0.621k$, solve for $k$: $$k = \frac{m}{0.621}$$ Show intermediate step with cancellation: $$k = \frac{m}{\cancel{0.621}}$$ 4. **Part c:** Explain how these two functions are related. These two functions are inverses of each other because one converts kilometers to miles by multiplying by 0.621, and the other converts miles back to kilometers by dividing by 0.621. This means applying one function and then the other returns the original value. Hence, the functions are inverse functions. **Final answers:** - $m = 0.621k$ - $k = \frac{m}{0.621}$ - They are inverse functions converting between kilometers and miles.