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

Answer: 0.5

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=(y_2)/(y_1)=(25(0.5))/(25)=0.5`

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

Answer 2

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