Activity 1:
Solve the following problems applying the concepts learned above. Write your answer on a separate sheet of paper. (Show your solution)
1. The rate of change x is proportional to x. When t =0, x0 = 3 and when t =2, x=6. What is the value of x when t =4?
2. A certain plutonium isotope decays at a rate proportional to the amount present. Approximately 15% of the original amount decomposes in 100 years. How much amount of the substance has decayed after 600 years? Also, find the half - life t1/2 of this radioactive substance ; that is, find the time required for this substance to decay to one- half of its original amount.
1.
Given
Given
Then
2.
Given
Then
Approximately 62.285% of the original amount decomposes in 600 years.
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