Final answer:
To find the constant multiplicative factor by which the sugar concentration decreases, one would divide the subsequent hour's concentration by the previous hour's concentration. The percentage decrease is calculated by taking the difference between the two concentrations, dividing by the initial concentration, and multiplying by 100.
Step-by-step explanation:
The student's question is about determining the constant rate of decrease in sugar concentration in the bloodstream over time, which is a mathematical concept related to exponential decay in the context of a health-related scenario. To solve for the constant multiplicative factor, one needs to identify the rate at which the concentration drops every hour. This can be calculated by dividing the concentration at a later time by the concentration at an earlier time, assuming the concentration decreases by the same factor every hour.
If the initial concentration is represented by C and it decreases by a factor r every hour, the concentration after one hour would be C × r, and after two hours it would be C × r × r (or C × r^2). The percentage decrease can be found by subtracting the final concentration after one hour from the initial concentration, dividing by the initial concentration, and then multiplying by 100 to convert to a percentage.