Question

A population of beetles is modeled by the equation b(t) = 3,000 (2)t where t represents the number of weeks since the population was first measured?

Answer 1

See Explanation

Explanation:

Given

`b(t) = 3000 * 2^t`

The question is incomplete;

A possible question could be to calculate the initial amount of beetle

An exponential function is represented as:

`f(x) = ab^x`

Where

`a \to Initial\ amount`

By comparison:

`a = 3000` --- The initial number of beetles

Another question could be to solve for f(t), after a certain number of weeks (say 3)

Substitute 3 for t in:
`b(t) = 3000 * 2^t`

`b(3) = 3000 * 2^3`

`b(3) = 3000 * 8`

`b(3) = 24000`