Question

NEED HELP PLEASE!!!! (10 PTS)

There are 7 tigers at the zoo. Each year, the number of tigers increases by 10%. There are 15 eagles at the zoo. Each year, 2 new eagles join the zoo.

Part A: Write functions to represent the number of tigers and eagles at the zoo throughout the years. (4 points)

Part B: How many tigers are at the zoo after 10 years? How many eagles are at the zoo after the same number of years? (2 points)

Part C: After approximately how many years is the number of tigers and eagles the same? Justify your answer mathematically. (4 points)

Answer 1

Tigers:-

f(t) = 7(1 + 0.1)^2 where t = number of years

Eagle

g(t) = 15 + 2t


B after ten year number tigers = f(t) = 7(1 + 0.1)^10 = 18

number of eagles = 15 + 10(2) = 35

C when the number of tigers = number eagles the 2 functions will be equal;-

f(t) = g(t) that is:-

7* 1.1^t = 15 + 2t

solve for t