1. ## functions

Radioactive gallium-67 decays by 1.48% every hour; there are 150 milligrams initially.
a) Find a formula for the amount of gallium-67 remaining after t hours.

my answer is 150(1.0148)^t but it says that it is wrong

I believe it's a continuous process of decay so you can't calculate it like you would calculate discrete functions like compound interest.
So it will be 150 * (1 - e^(-n)) where n = t(1 - 1.48%)

3. Originally Posted by asweet1
Radioactive gallium-67 decays by 1.48% every hour; there are 150 milligrams initially.
a) Find a formula for the amount of gallium-67 remaining after t hours.

my answer is 150(1.0148)^t but it says that it is wrong
$P(t) = P_0e^{-rt}$
here, $P(t)$ is the amount remaining after time $t$, $r$ is the rate of decay (in decimal, you can find this from the decay percentage), and $P_0$ is the initial amount