Question: please answer the following questions using a (cas calculator) and show workong out and how to use from cas Below is a table outlining the

please answer the following questions using a (cas calculator) and show workong out and how to use from cas

Below is a table outlining the world population to the nearest billion: 1804 1927 1960 1974 1987 1999 2012 Population Source: World population estimates (USCB) Use your CAS calculator or Excel spreadsheet to create a table of values for the above data. Note: the year should be the independent variable (x). Use "Exponential Regression\" to nd an exponential equation that models the relationship between population (y) and years (x). This equation should be of the form y = (19\" The value of \"e" is a constant (in the same way that it is a constant). Your calculator will provide values for \"a\" and \"b\". 1. State these values to three signicant gures. Note: values may be provided in scientic notation. (2 marks) a = b = 2. State the equation you have found using CAS or Excel. (2 marks) 3. Use your equation to calculate and predict the Earth's population for the following years (show working): (6 marks) a. 1900 b. 2020 c. 2050 4. There may be difficulties and constraints using any mathematical model. How accurate is the model used in calculating the above values? Can you see any difficulties and constraints using this particular model for population growth? Provide a clear and unambiguous explanation, using examples, to support your argument. (Word Limit: approximately 250 words)

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