A tumor is injected with 0.8 grams of Iodine-125, which has a decay rate of per day. Write an
exponential model representing the amount of Iodine-125 remaining in the tumor after days. Then use
the formula to find the amount of Iodine-125 that would remain in the tumor after 60 days.
Enter the exact answer.
Enclose arguments of functions in parentheses and include a multiplication sign between terms. For
example, or .

Ask by Deleon Vega. in the United States

Jan 25,2025

Question

A tumor is injected with 0.8 grams of Iodine-125, which has a decay rate of per day. Write an
exponential model representing the amount of Iodine-125 remaining in the tumor after days. Then use
the formula to find the amount of Iodine-125 that would remain in the tumor after 60 days.
Enter the exact answer.
Enclose arguments of functions in parentheses and include a multiplication sign between terms. For
example, or .

Ask by Deleon Vega. in the United States

Jan 25,2025

UpStudy AI · Accepted Answer

The exponential model for the amount of Iodine-125 remaining in the tumor after $$ t $$ days is:

$$
A(t) = 0.8 * \exp(-0.0115 * t)
$$

To find the amount of Iodine-125 remaining after 60 days, substitute $$ t = 60 $$ into the model:

$$
A(60) = 0.8 * \exp(-0.0115 * 60)
$$

Simplifying the exponent:

$$
A(60) = 0.8 * \exp(-0.69)
$$

**Exact Answer:** $$ 0.8*\exp(-0.69) $$
The amount of Iodine-125 remaining after 60 days is $$ 0.8 \times \exp(-0.69) $$ grams.