After a person takes medicine, the amount of drug left in the person's body decreases over...

    

Transcribed Image Text:

After a person takes medicine, the amount of drug left in the person's body decreases over time. When testing a new drug, a pharmaceutical company wants to develop a mathematical model to quantify this relationship. To find such a model, suppose a dose of 1000 mg of a certain drug is absorbed by a person's bloodstream. Blood samples are taken every five hours, and the amount of drug remaining in the body is calculated. The data is recorded in table on the next page. a) Using the grid provided, make a scatterplot of the data. Drug Absorption Data Hours Since Drug was Administered 0 5 10 15 222 20 25 30 Amount of Drug in Body (mg) 1000 550 316 180 85 56 31 Amount of Drug (mg) 900 600 300 048 12 16 20 24 28 32 Hours b) Find an exponential function that models the data. Write your function below. ŷ = c) How well does your function model the data? Give at least three reasons to support your answer d) Estimate the amount of drug left in a body after 12 hours. After a person takes medicine, the amount of drug left in the person's body decreases over time. When testing a new drug, a pharmaceutical company wants to develop a mathematical model to quantify this relationship. To find such a model, suppose a dose of 1000 mg of a certain drug is absorbed by a person's bloodstream. Blood samples are taken every five hours, and the amount of drug remaining in the body is calculated. The data is recorded in table on the next page. a) Using the grid provided, make a scatterplot of the data. Drug Absorption Data Hours Since Drug was Administered 0 5 10 15 222 20 25 30 Amount of Drug in Body (mg) 1000 550 316 180 85 56 31 Amount of Drug (mg) 900 600 300 048 12 16 20 24 28 32 Hours b) Find an exponential function that models the data. Write your function below. ŷ = c) How well does your function model the data? Give at least three reasons to support your answer d) Estimate the amount of drug left in a body after 12 hours.

Answer rating: 100% (QA)

Answer a The scatterplot is shown below b Answer Explanation The exponential regression model is def... View the full answer