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# Solve equations with Radicals and Exponents

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Part 1:

Using the Library, web resources, and/or other materials, find the gas mileage of your dream car or any car of your choice. Let x be the number of miles driven on 60 gallons of gas. By setting up and solving a proportion involving x, find the value of x for the car that you have chosen. State the type of car, the mileage, and show both the set up of the proportion and the steps to solve. Please include units with the work.

Part 2:

The equation

D=sqrt(2h)
, also typed as D=sqrt(2h), can be used to approximate the distance, D, in miles that a person can see to the horizon from a height, h, in feet. Suppose that you are in an airplane. By choosing any height, find the corresponding distance that you should be able to see to the horizon. Include the height and the calculations needed to find the distance. Please include units and show all of the work.