Modelling Tree Growth * A popular fall activity is picking apples, but did you. know that the growth of an apple tree can actually be modelled by using a logarithmic curve. STEP 1: (Table created with random numbers from the Google sheet) Year Height of Tree ft] 7 17 21 24 27 29 31 33 33 _.. (DOONG'Dm-P-QJM \fSTEP 4: Using your table and," or scatter plot) make the following predictions and then justify your predictions algebraically using the function you developed: a) How tall will the tree be at 30 months? 1)) How tall will the tree be in 15 years? c) When will the tree reach a height of 10 feet? d) \"When will the tree reach a height of 25 feet? STEP 5: Using your scatter plot front Step 2, graph the logarithmic function you determined in Step 3 on the same graph. Reect upon the accuracy of your function. Are there any other transformations you could have applied to your logarithmic function to improve its fit'? STEP 6: Explain T.vhy a logarithmic mode] n-'orks in this situation. For what other situations might this model be appropriate