The main cable of a suspension bridge forms a parabola, described by the equation
y = a(x - 1)2 + k, where y is the height in feet of
the cable above the roadway, x is the horizontal
distance in feet from the left bridge support, a is a
constant, and (h, k) is the vertex of the parabola.
At a horizontal distance of 30 ft, the cable is 15 ft
above the roadway. The lowest point of the cable
is 6ft above the roadway and is a horizontal
distance of 90 ft from the left bridge support.

Carla was trying to decide what to do saturday evening. she has $100 available to spend for the evening. she has narrowed her choices down to these events: braves game, a concert of an artist she likes, or the georgia aquarium. admission to the braves game is $25, hot dogs cost $10, sodas cost $5. the concert costs $25 for admission, $20 for a souvernir t-shirt, and $10 for a soda. the georgia aquarium has the show of a lifetime with an all you can eat and drink that costs $100. carla does not want to take any driving chances, so in addition to the cost of the aquarium, she will also need to pay for her uber/lyft, which is $15 each way. which option should carla choose if she wants to spend the least? based on that choice, what then is carla's oppotunity cost? fully explain your answer in at least one paragraph.