Question

What would be the number of fish in the pond on the first day of filming?

The show's producers went to investigate the island and came across a pond with fish 10 weeks before the first day of filming which led to the idea for the Judgement Challenge and then unfortunately the Bacteria Outbreak that followed! The number of fish in the pond when the producers investigated it on the island 10 weeks before the first day of filming was modeled by the function N(t) = 12(1 + 0.04)^t , where t is measured in weeks.

Answer 1

Answer: To find the number of fish in the pond on the first day of filming, we need to evaluate the function N(t) at t = 0 (since t is measured in weeks).

Given the function N(t) = 12(1 + 0.04)^t, we can substitute t = 0:

N(0) = 12(1 + 0.04)^0.

Any number raised to the power of 0 is 1, so:

N(0) = 12 * 1 = 12.

Therefore, there were 12 fish in the pond on the first day of filming.