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Problem 10

§  In order to find the distance for the red marked paths, does it make more sense to use the Pythagorean Theorem, distance formula, slope, or equation of the line? Could it be possible to use any of them?  Explain your answer.

§  What concept or formula will you need to use in order to create the equation that gives time as a function of distance?

1. Write the total time T  (in hours) of the trip as a function of the distance x  (in miles).
2. Determine the domain of the function.
3. Use a graphing utility to graph the function. Be sure to choose an appropriate viewing window.
4. Find the value of  x that minimizes T .
5. Write a brief paragraph interpreting these values