The table lists the cost y (in dollars) of purchasing a volume of topsoil, where the volume of topsoil is a cube with each side having a length of x ft.

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 Cost 1 1.10 2 8.80 3 29.70 4 70.40 5 137.50