Question: Use the data in the table to complete the following. (a) Make a scatterplot of the data. Estimate a value for b so that f(x)

Use the data in the table to complete the following. Moons of Jupiter Metis Almathea Thebe Europa Ganymede Callisto Distance (10 km)

(a) Make a scatterplot of the data. Estimate a value for b so that f(x) = 0.0002x^b models the data.

(b) Check the accuracy of f(x).

(c) The moon lo is 422 thousand kilometers from Jupiter. Estimate its period and compare the estimate to the actual value of 1.77 days. Did your estimate involve interpolation or extrapolation?

Moons of Jupiter Metis Almathea Thebe Europa Ganymede Callisto Distance (10 km) 128 181 222 671 1070 1883 Period (days) 0.29 0.50 0.67 3.55 7.16 16.69

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