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1. A new pond is built and stocked with 10 fish. The population is recorded every 3 months for 2 years. No fishing allowed. Plenty

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1. A new pond is built and stocked with 10 fish. The population is recorded every 3 months for 2 years. No fishing allowed. Plenty of food provided for the growth of the fish population. m onths 0 3 6 9 12 15 18 21 24 fish pop. 10 17 28 43 61 78 93 104 111 (a) On your work page make a chart like the one below. Fill in the AROC for the given intervals. interval [0,3] [3.6] l [6,9] [9.12] [12.15] l [15.13] l [18.21] l [21,24] AROC l l l l (b) On your work page make a chart like the one below. Fill in the ROC for the given time values. (c) On your work page make a chart like the one below. Fill in the AROC of the ROC for the given intervals. Use the previous table to calculate these values. AROC of ROC (d) On your work page make a chart like the one below. Fill in the ROC of the ROC for the given time values. Use the previous table to calculate these values. month 6 Q ' 12 15 18 ROC of ROC l Use the information from the tables above to answer the following questions. (e) At what month is the fish population growing at the fastest rate? (f) Over what interval is the rate of growth of the fish population accelerating? (g) Over what interval is the rate of growth of the fish population decelerating? (h) Write a sentence describing the ROC of the ROC at 15 months in the context of the problem. Include correct units

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