Answer :
Final answer:
The corresponding decay factor for an annual rate of change of -31% is 0.69, which means the quantity decreases to 69% of its previous value each year.
Explanation:
The student's question asks for the corresponding growth or decay factor for an annual rate of change of -31%. To calculate the growth or decay factor from a percentage change, you can use the following equation: Growth or Decay Factor = 1 + (rate of change as a decimal).
In this case, the annual rate of change is -31%, which as a decimal is -0.31. Thus, the growth or decay factor would be:
1 + (-0.31) = 0.69
Therefore, the correct answer is B. 0.69, which represents a decay factor because the percentage change is negative, indicating a decrease.