In this section, an exponential graph is simulated and investigated.

What does an exponential graph look like? 

This activity might not be viewable on your mobile device.Interactive exercise. Assistance may be required. The applet below simulates the decay of atomic nuclei. When the "Start" button is clicked, the color of the nuclei changes to black as it decays. Click "Pause" to stop the process and "Resume" to start it again. "Reset" restores the process to the initial state. "Diagram" will display the graph of the function.

Source: The Law of Radioactive Decay, Walter Fendt, walter-fendt.de


Answer the questions below.

Click on the blanks to reveal the answers.

  1. The applet represents ____ radioactive nuclei before the decay process.

  2. Press "Start" to begin the decay process and press "Pause" at T = 0.10 to ____ the decay process.

  3. The graph is starting to look like a ____ function.

  4. Start the process again pausing at T = 1.00, T = 1.50, T = 2.00 ,continuing until T = 5.0.

  5. The graph of the decayed nuclei appears to ____ as it reaches the x-axis.

  6. Referring to the graph, the percent of substance left at time 3T is approximately ____ .

  7. There will be 25% of the nuclei left after a time of approximately ____ .

An exponential decay graph starts high and curves towards the ____ , and an exponential growth graph starts close to the ____ and curves upward.