Mathematics
kmwils42
40

HELP PLEASE ASAP !!!! 80 POINTS !!!!!!! There are 975 birds in an aviary. Each month, the number of birds decreases by 7%. There are 350 trees in the aviary. Each month, 7 trees are removed. Part A: Write functions to represent the number of birds and the number of trees in the aviary throughout the months. (4 points) Part B: How many birds are in the aviary after 12 months? How many trees are in the aviary after the same number of months? (2 points) Part C: After approximately how many months is the number of birds and the number of trees the same? Justify your answer mathematically. (4 points)

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(1) Answers
lilchop06

Part Amonths = m since birds decrease by 7%, there will be 93% left. 93% = 0.93 birds: 975 x 0.93^m trees: 350 - 7m Part B birds: 975 x 0.93^12 = 408 trees: 350-7(12) = 266 Part C 350 - 7m = 0.93^m(975) We have intersection points at approximately 22.21 and 44.4781. round off to whole numbers, we have 22 and 44 months.

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