Respuesta :
Based on the given equation, the numerical value that would most likely to represent the decay rate is 0.5. In this instance, the variable x usually describes the independent variable being presented in the model
Answer: 0.5
Step-by-step explanation:
Given: The amount of mice that survive a new cancer treatment can be modeled by [tex]y=25(0.5)^x[/tex] which is a exponential decay equation .
At x=0 , [tex]y_0=25(1)=25[/tex]
At x=1, [tex]y_1=25(0.5)[/tex]
Let b be the decay rate, the decay rate of the given function will be
[tex]b=\frac{y_2}{y_1}=\frac{25(0.5)}{25}=0.5[/tex]
Hence, 0.5 is the number which represents the decay rate.