The question is in the attachment below. Please answer all parts of the question :)

5. The diameters of circular rugs and their corresponding masses are recorded in the table below. +. 45 Diameter (d m) 0.77 1.22 1.69 2.25 Mass (m kg) 0.97 2.14 1.68 8.30 1.47 + 2.44 (a) Does the data represent a direct variation or an inverse variation between the variables. Justify your reasoning. [2 marks] ( b ) Using a GDC, determine a power model which best fits the data. [2 marks] ( c ) Estimate the mass of a rug with diameter 1.5 m. [2 marks] (d) Is this estimate reliable? Justify your reasoning. (2 marks]