Question

Suppose that a population begins at a size of 100 and grows continuously at a rate of 200% per year. Give the formula for calculating the size of that population after t years. Question 3 options: A) A = 100 + 2et B) A = 100 + te2 C) A = 100e2t D) A = 100 + e2t

Answer 1

100 (+1) x 2^t = 100 (+2et) as we plus and we multiply before squaring the years.

Explanation:

You cna now work this out as +1 represents the 100% + 200% sum.

Answer 2

C)
`A = 100e^(2t)`

Explanation:

Continuous growth:

`A = Pe^(rt)`

r = rate as a decimal

r = 200% = 2

P = initial value = 100

`A = 100e^(2t)`