Help me with these questions pls

Question

The table below represents the equation y = 500(1 - 0.025)^x, which represents the amount of a drug left in a patient's bloodstream over time. The x-values represent time in hours, and y-values represent the amount of the drug left in milligrams. 

0	1	2	3	4
500	474	449.35	425.99	403.83

Part A: What is the initial dosage of the drug in milligrams?

Part B: How much of the drug has been eliminated after 4 hours? Show your work.

Part C: Find the amount of the drug left in the patient's system after 24 hours. Show your work to support your answer.

Answer 1

Part A: Initially ( at x = 0 ), the body would have 500mg following the table.

Part B: After 4 hours ( at x = 4), the body would have 403.83mg following the table. Therefore, the amount that left the body would be 500mg - 403.83mg = 96.17mg

Part C: After 24 hours ( at x = 24), using the equation provided, the body would have:

y = 500 (1- 0.025)^x

y = 500 (1- 0.025)²⁴ = 272mg