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)

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.

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.

step-by-step explanation:

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.