Question

What is the growth factor, initial amount for `M(t)=8(2)^(1/6t)`?

Answer 1

Growth factor = 2
Initial Amount = 8

Explanation:

You're using the form `A(t)=A_0(b)^(t/k)`, where:
`A_0` = the initial amount
`b` = the growth factor
`t` = the amount of time elapsed
`k` = the amount of time it takes to double/triple/etc.

Note: M(t) and A(t) are the same, just using different variables.

Your equation represents a doubling in whatever the problem applies to. It takes 6 years to double. In order to avoid confusion, you can place the `t` in the fraction in the exponent:

`M(t)=8(2)^(t/6)`