The Dirt Guy Topsoil company in Durham, CT, sells (you guessed it) topsoil. It is sold by the "yard," which is actually a cubic yard, and the variable x is the length (yd) of each side of a cube of topsoil.

Construct a scatterplot and identify the mathematical model that best fits the given data. Assume that the model is to be used only for the scope of the given data, and consider only linear, quadratic, logarithmic, exponential, and power models.

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x (yd) Cost (dollars) 2 4 25 200 675 1600 5400