Question

If you can explain your answer that’d be great!! Thank you!

Answer 1

`A(t)=A_(0)e^{(ln((1)/(2)))/(22)t}`

Explanation:

This half life exponential decay equation goes by the formula:

`A(t)=A_(0)e^(kt)`

Where

`k=(ln((1)/(2)))/(Half-Life)`

Since half life is given as 22, we plug that into "Half-Life" in the formula for k and then plug in the formula for k into the exponential decay formula:

So,

`k=(ln((1)/(2)))/(Half-Life)\\k=(ln((1)/(2)))/(22)`

Now

`A(t)=A_(0)e^{(ln((1)/(2)))/(22)t}`

third choice is correct.