A tumor is injected with 0.52 grams of Iodine-125. After 1 day, the amount of Iodine-125 has decreased by 1.15%. Write an exponential decay model with A(t) representing the amount of Iodine-125 remaining in the tumor after t days. Enclose arguments of the function in parentheses and include a multiplication sign between terms. For example, c*ln(t).
Then use the formula for A(t) to find the amount of Iodine-125 that would remain in the tumor after 8.5 days.

The equation is .

0.4713 grams would remain in the tumor after 8.5 days.

Step-by-step explanation:

Exponential equation of decay:

The exponential equation for the amount of a substance that decays, after t days, is given by:

In which A(0) is the initial amount and r is the decay rate, as a decimal.

A tumor is injected with 0.52 grams of Iodine-125.

This means that

After 1 day, the amount of Iodine-125 has decreased by 1.15%.

This means that

So

Then use the formula for A(t) to find the amount of Iodine-125 that would remain in the tumor after 8.5 days.

This is A(8.5).

0.4713 grams would remain in the tumor after 8.5 days.

step-by-step explanation: