Joey plánted a tree in his yard. At the time of planting the tree was three years old and measured 0.29 m in height. Joey kept track of how the tree was growing over an eight year span and collected the data in the following table: Age of Tree (years) Height (m) 0.29 0.53 1.62 6. 2.47 219 1.62 6. 2.47 3.18 8 4.06 Determine the natural logarithm function in the form h(t) = a+ bln(t), where h(t), in meters, after time, t, in years. Round the a and b values to the nearest hundredth. • How long will it take for the tree to reach at least 10m? Round your answer to the nearest whole year. 3. 4.

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