Question

Dr. Banner monitored the decay of a new type of recyclable material he developed for his
gamma radiation study. He noted that the decay of the material could be modeled by the
function f(x) = 100(0.98). What is the rate of decay of Dr. Banner's material?

Answer 1

Answer:

The rate of decay is: $2\%$

Step-by-step explanation:

Exponential functions are modeled by:

$f(x) = a(b)^x$

Where $a$ is the y-intercept and b is the growth or decay constant. If $b$ is less than one, the function decays. If $b$ is greater than 1, the function grows.

To calculate the percentage, subtract $b$ from 1:

$\% = 1 - b\\\% = 1 - 0.98\\\% = 0.02$

Multiply the result by 100 to get the percentage.

$0.02 * 100 = 2\%$