Question

Homework help [College Algebra]

For the following exercises, use this scenario: A tumor is injected with 0.5 grams of Iodine-125, which has a decay rate of 1.15% 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. Round to the nearest tenth of a gram.

Answer 1

Mildly confused about this, I know equations but this is all a jumbled mess..

Answer 2

Well, first think to do would be to get all your information sorted, and formula.

The general formula being \(\large A(t) = A_0 e^{kt} \)
Where \(\large A_0 \) = initial amount
k = decay constant
and t = time

Since it is a decay, you can instead use the Simpler Base Form: \(\large A(t) = A_0 (1-r)^t \)
where r = rate (percentage)

So sorting out your information, you get
Initial \(\large A_0 \) = 0.5 g
r = 0.0115 (from 1.15%)


Giving you the formula of \(\Large A(t) = 0.5 (1-0.0115)^t \)

Now just plug in t= 60 and you'll get your answer

Answer 3

thank you lui

Answer 4

The general formula being A(t)=A0ekt
Where A0 = initial amount
k = decay constant
and t = time
Since it is a decay, you can instead use the Simpler Base Form: A(t)=A0(1−r)t
where r = rate (percentage)
So sorting out your information, you get
Initial A0 = 0.5 g
r = 0.0115 (from 1.15%)
Giving you the formula of A(t)=0.5(1−0.0115)t

Now just plug in t= 60 and you'll get your answer

Technically what lui said