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The options that are most likely be graphed using a continuous graph are options B, C, E and F.
B. total cost, c, of buying g pounds of broccoli.
C. speed of a car, s, as it accelerates over time, t.
E. total distance, d, that has been driven over time, t .
F. decrease in outside temperature, F, one evening over time, t.
Continuous graphs have a value of y for every single value of x and each point is placed next to the point on either side of it, preserving the uninterrupted line of the graph. Therefore, the graph is continuous if the line is continuous.
If a function's graph is an unbroken curve, meaning it lacks any holes, gaps, or breaks, then the function is continuous.
Therefore, from the question, A is not an option because continuous cans are not allowed and the cans must be in whole numbers. Option D is incorrect as well because there aren't any real numbers or continuous stamps.
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