Consider the following scenarioA sample of radioactive material has a decay constant of 0.04 per hourIf there are initially 500 grams of the material, how much will remain after 3 hours? point) y = 500 * (0.96) ^ 3; y = 3 * (0.96) ^ 500; y = 3 * (0.04) ^ 300; y = 500 * (0.04) ^ 3
To find out how much radioactive material will remain after 3 hours, we can use the exponential decay formula:
y = Initial amount * (decay constant) ^ time
In this scenario:
Initial amount = 500 grams
Decay constant = 0.04 per hour
Time = 3 hours
Therefore, the formula becomes:
y = 500 * (0.96) ^ 3
Calculating:
y = 500 * 0.884736
y ā 442.368 grams
So, approximately 442.368 grams of the radioactive material will remain after 3 hours.