Final answer:
Approximately 108.27mg of ibuprofen is left in the person's system after 5 hours.
Step-by-step explanation:
To find out how much ibuprofen is left after 5 hours, we need to calculate the decrease in the amount of ibuprofen each hour. Given that the amount decreases by about 29% each hour, we can calculate the remaining amount after 5 hours.
Step 1: Calculate the amount of ibuprofen left after 1 hour: 600mg - (0.29 * 600mg) = 600mg - 174mg = 426mg
Step 2: Repeat Step 1 for each subsequent hour, using the previous result as the new amount:
Hour 2: 426mg - (0.29 * 426mg) = 426mg - 123.54mg = 302.46mg
Hour 3: 302.46mg - (0.29 * 302.46mg) = 302.46mg - 87.72mg = 214.74mg
Hour 4: 214.74mg - (0.29 * 214.74mg) = 214.74mg - 62.21mg = 152.53mg
Hour 5: 152.53mg - (0.29 * 152.53mg) = 152.53mg - 44.26mg = 108.27mg
Therefore, after 5 hours, approximately 108.27mg of ibuprofen is left in the person's system.