Using a linear function, it is found that the half life of the isotope is of 6,000 years.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
Considering the quantity and the decay rate, the function for the amount of the isotope is given by:
A(t) = 60,000,000 - 5,000t
The half-life is when the amount is half of the initial amount of 60 millions atoms, hence when A(t) = 30,000,000, so:
30,000,000 = 60,000,000 - 5,000t
5,000t = 30,000,000
t = 30,000,000/5,000
t = 6,000.
More can be learned about linear functions at brainly.com/question/24808124
#SPJ1
