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Questions and Answers > University of Ottawa_Math MAT 1318. 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

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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 Instructions: Create a well organized report for s... teps 1 - 6 below. 1. Here is a random set of values of this assignment prep for you. Modelling Apple Tree Growth Year Height of Tree ft) The random values that the sheet generates will represent the height of the apple tree in a given year. Summarize the data using a table like the one shown below. Year Height (ft) 1 2 3 4 5 67 8 9 2. Using Desmos (or just graph), construct a scatter plot with the year on the x-axis (as the dependent variable) and the height on the y-axis (as the independent variable). Save your scatter plot as you will need it for questions 5 and 6. 3. Determine a logarithmic function (in the form y= a+b log x) 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? b) 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? 5. Using your scatter plot from question 2 graph your logarithmic function you determined in question 3 on the same graph. Reflect upon the accuracy of your function. Are there any other transformations you could have applied to your logarithmic function to improve its fit? 6. In a 5-10+ sentence summary, explain by writing down why a logarithmic model works in this situation. For what other situations might this model be appropriate? MathMAT 1318 [Show More]

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