39 a sample of a substance with an initial mass of 963 grams is decaying at a rate of 27% per hour. create a…

Explanation:

Step1: Identify decay - formula form

The general formula for exponential decay is $y = a(1 - r)^x$, where $a$ is the initial amount, $r$ is the rate of decay, and $x$ is the time.

Step2: Substitute given values

Here, $a = 963$ (initial mass), $r=0.27$ (27% decay rate as a decimal), and $x$ is the number of hours. So the function is $y = 963(1 - 0.27)^x$.

Step3: Simplify the function

$y = 963\times0.73^x$.

Answer:

$y = 963\times0.73^x$