#31 ### Half-Life Graph of a Radioactive Isotope---### Use the following half-life graph to answer the question:---#### [Graph Title: Half-Life Graph of a Radioactive Isotope]- **X-Axis: Time (minutes)** - The x-axis represents time in minutes, spanning from 0.0 to 6.0 minutes in increments of 1.0 minute.- **Y-Axis: Mass Remaining (mg)** - The y-axis represents the mass remaining in milligrams (mg), ranging from 0.0 to 60.0 mg in increments of 10 mg.- **Data Points:** - At 0.0 minutes, the mass remaining is 60.0 mg. - At 1.0 minute, the mass remaining is approximately 30.0 mg. - At 2.0 minutes, the mass remaining is approximately 15.0 mg. - At 3.0 minutes, the mass remaining is approximately 7.5 mg. - At 4.0 minutes, the mass remaining is approximately 3.75 mg. - At 5.0 minutes, the mass remaining is approximately 1.875 mg.The graph shows an exponential decay curve, highlighting the reduction in mass of the radioactive isotope over time.---#### Question:When you are left with 6.25 mg of the radioactive isotope, how many half-lives have occurred from time equal to zero?---**To find the half-life:**1. Start with the initial mass, which is 60 mg at 0.0 minutes.2. Determine the half-life duration by examining the graph, where each half-life halves the remaining mass. - From 60 mg to 30 mg takes 1 minute. - From 30 mg to 15 mg takes another 1 minute (total 2 minutes now). - From 15 mg to 7.5 mg takes another 1 minute (total 3 minutes now). - Thus, the half-life is 1 minute.Thus, if you are left with 6.25 mg of the radioactive isotope, it would take approximately 4 half-lives (4 minutes) from time equals zero. ### Educational Resource#### Data Correspondence TableThe following table presents a simple list depicting the relationship between different variables labeled as 'a', 'b', 'c', and 'd' with their corresponding numerical values:| Variable | Value ||----------|-------|| a | 1 || b | 3 || c | 6 || d | 12 |### Explanation:- **Variable 'a'**: This variable is associated with the value **1**.- **Variable 'b'**: This variable is associated with the value **3**.- **Variable 'c'**: This variable is associated with the value **6**.- **Variable 'd'**: This variable is associated with the value **12**.In mathematical terms, this can be visualized as a set of pairs (a, 1), (b, 3), (c, 6), and (d, 12). These values could represent different elements like steps in a sequence, levels in a hierarchy, or any other structured data dependent on the context of the subject matter being taught. For detailed analysis, such values can be plotted on a graph to understand their relations more vividly.

The half-life of a radioactive isotope is the amount of time it takes for one-half of the…

Use the following half-life graph to answer the question: Mass Remaining (mg) 60.0 50.0 40.0 30.0 20.0 10.0 0.0 0.0 Half-Life Graph of a Radioactive Isotope 1.0 2.0 3.0 Time (minutes) 4.0 5.0 6.0 When you are left with 6.25 mg of the radioactive isotope, how many half-lives have occurred from time equals zero?