Suppose you drive along the Ohio Turnpike in an area where the grade of the road is 3% (wh...

Suppose you drive along the Ohio Turnpike in an area where the grade of the road is 3% (which means that the line representing the road in the figure has slope .03.)

(a) Find the equation of the line representing the road. [Hint: Your trip begins at the origin.]

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(b) If you drive on the road for one mile, how many feet higher are you at the end of the mile than you were at the beginning? [Hint: Express one mile as 5280 feet. Use the equation from part (a) to express x in terms of y, and then use the Pythagorean Theorem to find y.]