standard_description: Explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x); find the solutions approximately, e.g., using technology to graph the functions, make tables of values, or find successive approximations. Include cases where f(x) and/or g(x) are linear, polynomial, rational, absolute value, exponential, and logarithmic functions.
problem_activity: Below is an illustration of an aquarium. There are four possibilities of changes that affect the water level: addition/removal of a rock, insertion/removal of a plug, turn on/off the faucet, use the bucket to add/remove water.
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The graph below shows the height of the water in the aquarium over a 17-minute time interval. Write a story from the point of view of someone watching what is going on with the aquarium to produce the given graph.
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The graph given above is a simplified version of reality. What simplifying assumptions did we make when we created the graph?


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