SOLUTION: The John James Audubon Bridge is a cable-stayed bridge in Louisiana that opened in 2011. The height from the bridge deck to the top of the tower where a particular cable is anchore
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Question 986379: The John James Audubon Bridge is a cable-stayed bridge in Louisiana that opened in 2011. The height from the bridge deck to the top of the tower where a particular cable is anchored is about 500 feet, and the length of that cable is about 1200 feet. Draw the cable on a coordinate plane, letting the x-axis represent the bridge deck and the y-axis represent the tower. Write a linear function whose graph models the cable. Identify the domain and range, writing each as an inequality, using set notation. Answer by solver91311(24713) (Show Source):
You are basically being asked to graph the hypotenuse of a right triangle where one leg measures 500 and the hypotenuse measures 1200. Hence the other leg of the triangle must measure .
You can start your line at the origin, and the second point of your line would be
Use this point and the origin, , in the two-point form of the equation of a line:
where and are the coordinates of the given points.
The smallest -value is obviously zero, and the largest is . You can write out the interval notation for yourself.
John
My calculator said it, I believe it, that settles it
