The Richter scale is used to rate the magnitude of an earthquake by how much energy it releases. Below is a list of historic earthquakes, the energy released, and the rating on the Richter scale. Earthquake Northridge (USA), 1994 Valdivia (Chile), 1960 Tibet, 1950 Mexico City, 1985 Sumatra-Andaman, 2004 y = The rating on the Richter scale can be modelled by a logarithmic regression function of the form ya+b.In x where x is the energy of the quake, in petajoules (quadrillion Joules), and y is rating on the Richter scale. Energy, measured in petajoules 0.7 112,202 501 89 2,818 Determine a logarithmic regression function that could be used to model these data. Round the values of a and b to the nearest tenth. + The rating is Richter scale 6.7 9.5 8.6 8.1 9.1 -In(x) According to the logarithmic regression function, determine the rating of an earthquake with 277 petajoules of energy. Round to one decimal place. on the Richter scale.

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