The ordered pairs below give the average water temperatures C (in degrees Celsius) at several depths d (in meters) in the Indian Ocean. (Spreadsheet at LarsonPrecalculus.com)
(1000, 4.85)
(1500, 3.525)
(2000, 2.468)
(2500, 1.888)
(3000, 1.583)
(3500, 1.422)
(a) Sketch a scatter plot of the data.
(b) Determine whether a direct variation model or an inverse variation model better fits the data.
(c) Find k for each pair of coordinates. Then find the mean value of k to find the constant of proportionality for the model you chose in part (b).
(d) Use your model to approximate the depth at which the water temperature is 3°C.