Answered

Find answers to your questions and expand your knowledge with IDNLearn.com. Our Q&A platform is designed to provide quick and accurate answers to any questions you may have.

A tumor is injected with 0.9 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 t days. Then use the formula to find the amount of Iodine-125 that would remain in the tumor after 60 days.

Sagot :

Temdan2001idn

With the use of formula, the amount of Iodine-125 that would remain in the tumor after 60 days is 0.45 grams

Word Problem Leading to Exponential Function

First analyze the problem and represent them in exponential function. The decay rate is different from increase rate with minus and plus sign.

Given that a tumor is injected with 0.9 grams of Iodine-125, which has a decay rate of 1.15% per day. Let

  • I = initial amount injected = 0.9 grams
  • R = decay rate = 1.15%
  • t = number of days = 60 days
  • A = the remaining amount of Iodine - 125

An exponential model representing the amount of Iodine-125 remaining in the tumor after t days will be

A = I( 1 - R%)^t

Let us use the formula to find the amount of Iodine-125 that would remain in the tumor after 60 days by substituting all the given parameters into the formula

A = 0.9 ( 1 - 1.15/100)^60

A = 0.9 ( 1 - 0.0115)^60

A = 0.9 ( 0.9885)^60

A = 0.9 x 0.4995

A = 0.45 grams

Therefore, the amount of Iodine-125 that would remain in the tumor after 60 days is 0.45 grams

Learn more about Exponential Function here: https://brainly.com/question/2456547

#SPJ1

We greatly appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. Thank you for choosing IDNLearn.com. We’re here to provide reliable answers, so please visit us again for more solutions.