Question

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

Answer 1

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 2

Answer: 0.5

Step-by-step explanation:

Given: The amount of mice that survive a new cancer treatment can be modeled by $y=25(0.5)^x$ which is a exponential decay equation .

At x=0  , $y_0=25(1)=25$

At x=1, $y_1=25(0.5)$

Let b be the decay rate, the decay rate of the given function will be

$b=\frac{y_2}{y_1}=\frac{25(0.5)}{25}=0.5$

Hence, 0.5 is the number which represents the decay rate.