a) Consider the following quadratic model relating two quantities x and y: y = -x² + 6x + 4. Calculate the average rate
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a) Consider the following quadratic model relating two quantities x and y: y = -x² + 6x + 4. Calculate the average rate
a) Consider the following quadratic model relating two quantities x and y: y = -x² + 6x + 4. Calculate the average rate of change of y with respect to x between the following x values. (i) x = 0 and x = 1: r0,1 = (ii) x = 1 and x = 2: r1,2 = (iii) x = -1 and x = 3: r-1,3 = b) The department of conservation (DOC) estimates annually the number of sea lion pups born in the South Island of New Zealand. Over the last 10 years, they reported the following numbers: year 2012 2013 2014 2015 2016 2017 2018 2019 Number of pups 16 15 18 19 6 8 4 11 (i) Estimate (to 3 significant figures) the average annual rate of change of the number of pups between 2012 and 2021. *12,21 = (ii) Estimate the average annual rate of change of the number of pups between 2014 and 2016. 2020 2021 22 22 pups per year nung nor
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