Yolanda owns 4 rabbits. She expects the number of rabbits to double every year.

b) write and equation to model this situation?

Double every year

year one

4 times 2

year 2

4 times 2 times 2 aka 4 times 2^2

year 3

4 times 2 times 2 times 2 aka 4 times 2^3

obviously

at year 'n' the number of rabbits will be

4 times 2^n

Yolanda initially owns 4 rabbits.

For year 0 she has 4 rabbits.

Year 1 = 4*2 = 4*2¹ = 8 since it doubles after every year, it will be multiplied by 2

Year 2 = 4*2*2 = 4*2² = 16

Year 3 = 4*2*2*2 = 4*2³ = 32

Year 4 = 4*2*2*2*2 = 4*2⁴ = 64

This is a kind of Geometric Progression.

Year n = 4 * (2ⁿ)