standard_description: Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers 1–100 with a common factor as a multiple of a sum of two whole numbers with no common factor. For example, express 36 + 8 as 4 (9 + 2).
problem_activity: The estimated size for a population of rabbits and a population of coyotes in a desert habitat are shown in the table. The estimated population sizes were recorded as a part of a long-term study related to the effect of commercial development on native animal species.
{"table": [{"_attributes": {"class": ["table", "table-bordered"], "style": "width:100%"}, "tbody": [{"tr": [{"td": [{"em": [{"_value": "n"}], "_values": ["Years since initial count (", ")"]}, {"_value": "0"}, {"_value": "3"}, {"_value": "6"}, {"_value": "9"}, {"_value": "12"}, {"_value": "15"}, {"_value": "18"}, {"_value": "21"}, {"_value": "24"}]}, {"td": [{"em": [{"_value": "r"}], "_values": ["Estimated number of rabbits (", ")"]}, {"_value": "14,989"}, {"_value": "10,055"}, {"_value": "5,002"}, {"_value": "10,033"}, {"_value": "15,002"}, {"_value": "10,204"}, {"_value": "4,999"}, {"_value": "10,002"}, {"_value": "14,985"}]}, {"td": [{"em": [{"_value": "c"}], "_values": ["Estimated number of coyotes (", ")"]}, {"_value": "1,995"}, {"_value": "2,201"}, {"_value": "2,003"}, {"_value": "1,795"}, {"_value": "1,999"}, {"_value": "2,208"}, {"_value": "2,010"}, {"_value": "1,804"}, {"_value": "2,001"}]}]}]}]}
Below are sketches of each graph, with a curve fitted to the data.
[IMG]
[IMG]
Write the function for each situation and then calculate the two different numbers of years where the population estimate is about 13,000 for rabbits and 2,100 for coyotes.


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