Using an exponential function, it is found that it would take 80.12 minutes for the element to decay to 6 grams.
<h3>What is an exponential function?</h3>
An exponential function is defined according to the following rule:
In which:
- a is the initial value of the function.
- b is the rate of change of the function.
- n is the time in which the rate of change occurs.
Considering the half life of the substance, and the initial amount of 430 grams, the parameters are given as follows:
a = 430, b = 0.5, n = 13.
Then the amount of the substance after t minutes is given by:
The time it will take for the element to 6 grams is t when y = 6, hence:
t = 80.12 minutes.
More can be learned about exponential functions at brainly.com/question/25537936
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