The model describes the amount of Cesium-137 remaining after t years. Which one of the following written statements best describes the behavior of Cesium-137?
A) The amount of radioactive substance decreases by half every years.
B) The amount of radioactive substance increases by half every year.
C) The amount of radioactive substance increases by half every years.
D) The amount of radioactive substance decreases by half every 79 years.
E) The amount of radioactive substance decreases by half every year.

Question

The model  describes the amount of Cesium-137 remaining after t years. Which one of the following written statements best describes the behavior of Cesium-137?
A) The amount of radioactive substance decreases by half every years. 
B) The amount of radioactive substance increases by half every year. 
C) The amount of radioactive substance increases by half every years. 
D) The amount of radioactive substance decreases by half every 79 years. 
E) The amount of radioactive substance decreases by half every year.

Quizplus · Accepted Answer

The model 11ec19db_8496_cc80_9dbe_cddb7fedfb86_TBX8673_11 describes exponential decay, which means the amount of Cesium-137 remaining after t years decreases by a factor of 1/2 every 79 years (according to the half-life of Cesium-137). Therefore, option D is the correct statement. Options A, B, and C describe exponential growth rather than decay, and option E is not accurate because the amount of Cesium-137 does not decrease by half every year.

The Model Describes the Amount of Cesium-137 Remaining After