The formula m=3.5(0.5)^(t)/(8) gives the mass,m milligrams, of radioactive Iodine in a sample t days after the initial measurement Determine the mass of radioactive Todine after each number of days. a) 2 days b) 4 days c) 16 days

## Step 1: Calculate the mass after 2 days<br />### Substitute $t=2$ into the formula $m=3.5(0.5)^{\frac{t}{8}}$. $m = 3.5(0.5)^{\frac{2}{8}} = 3.5(0.5)^{\frac{1}{4}} \approx 3.5(0.8409) \approx 2.943$<br />## Step 2: Calculate the mass after 4 days<br />### Substitute $t=4$ into the formula $m=3.5(0.5)^{\frac{t}{8}}$. $m = 3.5(0.5)^{\frac{4}{8}} = 3.5(0.5)^{\frac{1}{2}} \approx 3.5(0.7071) \approx 2.475$<br />## Step 3: Calculate the mass after 16 days<br />### Substitute $t=16$ into the formula $m=3.5(0.5)^{\frac{t}{8}}$. $m = 3.5(0.5)^{\frac{16}{8}} = 3.5(0.5)^{2} = 3.5(0.25) = 0.875$