There are 575 birds in an aviary. Each month, the number of birds decreases by 32. There are 350 trees in aviary. Each month, 13 trees are added. 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 3 months? How many trees 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)

Aspacecraft can attain a stable orbit 300 kilometers above earth if it reaches a velocity of 7.7 kilometers per second. the formula for a rocket's maximum velocity v in kilometers per second is vequalsminus0.0098tplusc ln upper r, where t is the firing time in seconds, c is the velocity of the exhaust in kilometers per second, and r is the ratio of the mass of the rocket filled with fuel to the mass of the rocket without fuel. find the velocity of a spacecraft whose booster rocket has a mass ratio of 20, an exhaust velocity of 2.1 km/s, and a firing time of 15 s. can the spacecraft achieve a stable orbit 300 km above earth?