Answer:
f(x) = 48(0.5)^n - 1 ⇒ 1st answer
Step-by-step explanation:
* Lets explain how to solve the problem
- The number of alligators changes each week
∵ The number in week 1 is 28
∵ The number in week 2 is 24
∵ The number in week 3 is 12
∵ The number in week 4 is 6
∴ The number of alligators is halved each week
∴ The number of alligators each week = half the number of alligators
of the previous week
- The number of alligators formed a geometric series in which the
first term is 48 and the constant ratio is 1/2
∵ Any term in the geometric series is Un = a r^(n - 1), where a is the
first term and r is the constant ratio
∴ f(n) = a r^(n - 1)
∵ a = 48 ⇒ The number of alligators in the first week
∵ r = 1/2 = 0.5
∴ f(x) = 48(0.5)^n - 1
