odine-131 is a radioactive substance that decays at a rate of 8.3% every day. If a sample contains x grams of iodine-131 after 2 days, how much iodine-131 will it contain after 6 days?
To find out how much iodine-131 will remain after 6 days, we need to calculate the decay after 2 days and then apply the decay rate for another 4 days.
After 2 days:
Amount remaining = x * (1 - 0.083)^2
Amount remaining = x * 0.7396
After 6 days:
Amount remaining = (x * 0.7396) * (1 - 0.083)^4
Amount remaining = x * 0.7396 * 0.414
Therefore, after 6 days, the sample will contain approximately 0.305x grams of iodine-131.