Final answer:
The concentration of a drug in a patient's bloodstream can be modeled using a mathematical function. Factors such as dosage, route of administration, and metabolism can affect the concentration. Common side effects of drugs can be influenced by individual factors and drug interactions.
Step-by-step explanation:
The subject of this question is Chemistry. The question asks about the concentration of a drug in a patient's bloodstream. The concentration, represented by the function c(t) = 5t/t^2 + 8, can be modeled over time. The function is dependent on the number of hours since the drug was injected, t.
To determine the concentration at a specific time, you would substitute the value of t into the function c(t) and solve for c. For example, if you want to find the concentration after 2 hours, you would evaluate c(2) = 5(2)/(2^2) + 8.
Factors that may affect the concentration of a drug in the bloodstream include the dosage of the drug, the route of administration (e.g. oral, intravenous), the metabolism and elimination rates, and the presence of any drug interactions. Side effects of drugs can vary depending on the specific medication, but common side effects may include nausea, dizziness, and headaches. Factors such as individual sensitivity, dosage, and drug interactions can contribute to these side effects.