The amount of mice that survive a new cancer treatment can be modeled by y = 25 (0.5)x. Determine which number represents the decay rate.

0.5
2
x
25

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.