First part of assignment
Problem solving plan
What parent function does it look like you need to use to fit the shape in Figure 6?
Share your ideas of how you will go about figuring out the equation. There are multiple methods, so if you have more than one idea, share them all!
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?
Second part of assignment
oWhat are the coordinates of the point (x,y)?
oGive the equation for the path of the ball, showing all work. Explain why you do each step.
oInclude a screenshot of the graph of your equation (use Desmos.com), verifying that it goes through the given points.
oThe total time T (in hours) of the trip as a function of the distance x (in miles). Make sure you show all your work to come up with this equation, and explain each step and what it represents.
oThe domain of the function. Explain why this domain makes sense, and show work as needed.
oGraph the function using the graphing utility on Desmos.com. Take a screenshot and make sure it is included in your document. The graph should be focused over the domain of the function.
oFind the value of x that minimizes T. Desmos.com will note this ordered pair for you automatically. If it does not, then you can click various points of the graph and it will display the ordered pair.
oWhat does the ordered pair of the minimum for T represent in our situation? I.E. what does the value of x tell us, and what does the value of T tell us? Write a brief paragraph interpreting these values.
Reflection on the project as a whole
oProcess for each problem
§Did your idea for solving this work?
§Did you have to get help or try different methods?
§Was this problem easy? Hard?
§Share anything else you have to say about the problems