Question

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)

Answer 1

Part A

months = 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.