Question

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

A)let number of years = xTigers =7*[(1.1) ^x] Eagles =15+2x

B) x=10Tigers= 7 *(1.1) ^10=18.156 round down to 18 Eagles =15+2(10) = 15+20 = 35

C) 7*(1.1^x) = 15+2x = x = 22.5638 Round to 23 years