The table lists the number of species of birds on islands of various sizes. Find values for a and b so that f(x) = a + blogx models these data. Estimate the size of an island that might have 16 species of birds. (Let f(1) = 7 and find a. Then let f(10) = 11 and find b.)

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Area (km²) Species of birds 0.1 1 10 100 1000 3 7 11 15 19