Answer:
I believe its y=5(4)^x
Step-by-step explanation:
The equation is supposed to look like y=ab^x
a is basically where it all starts, so where the y meets the 0
- so the 5 in the y's place meets the 0
b is what you're multiplying by on the y's side, which is by 4 every time
and the x is the exponent and since there is no exponent you leave it as x
2^31
use the rule that states the product of the same base with different powers you add them
(a^n) times (a^m) = a^(n+m)
Using an exponential function, it is found that it takes 18.6 days for 80% of the material to decay.
The amount of a substance after t days is modeled by:

In which:
- k is the decay rate, as a decimal.
- A(0) is the initial amount.
The half-life is of 8 days, hence
, and this is used to find k.







Hence:

The time it takes for 80% of the material to decay it t for which
, hence:






It takes 18.6 days for 80% of the material to decay.
To learn more about exponential functions, you can take a look at brainly.com/question/24906920