Answer:
The decay rate is 5%.
Step-by-step explanation:
Let a substance is decaying at the rate of r% per hour from the initial value of P for t hours, then the final value of the substance is given by the function
[tex]f(t) = P(1 - \frac{r}{100})^{t}[/tex] ........... (1)
Comparing this equation with the original equation given as
[tex]f(x) = 2(0.95)^{x}[/tex] ............ (2) we get,
[tex](1 - \frac{r}{100}) = 0.95[/tex]
⇒ [tex]\frac{r}{100} = 0.05[/tex]
⇒ r = 5%.
Therefore, the decay rate is 5%. (Answer)
