Answer:
Step-by-step explanation:
We would apply the formula,
y = ab^t
Where
a represents the initial amount of substance.
t represents the decay time.
From the information given
a = 100
t = 12 hours
Since after 12 hours, the amount of substance reduces by 0.1, then
y = 0.1 × 100 = 10
Therefore
10 = 100 × b^12
Dividing through by 100, it becomes
0.1 = b^12
Raising both sides of the equation by 1/12, it becomes
0.1^(1/12) = b^12/12
b = 0.8
The equation becomes
y = 100(0.8)^t
Where t = n, the expression becomes
y = 100(0.8)^n
