Question

time does not 1. When you take a dose of medicine, the amount that remains in your bloodstream over remain constant. One popular allergy medication requires a daily dose of 10 mg. amount of the medication in the bloodstream at various times after taking the medication. The table shows the Time since taking Amount remaining 10 0 3.30 1.09 0.36 0.12 12 16 a. What type of function might be an appropriate model for these data and why? b. Use the regression feature of your graphing calculator to find a function that fits the data. Then, use the function to predict how much medication will be in your bloodstream 24 hours after taking. c. Doctors are often interested in the half-life of a medication. What is the half-life of this allergy drug? 2. Recall that the half-tife of carbon-14 is 5,730 years, as lustrated in this graph. 100 Q 80 60 40 T 20 5,730 11,460 17,19022,920 Years a. Write an exponential function that models the relationship between the percent of carbon-14 remaining, y, and the number of 5,730-year periods that have passed, x. b. Use the regression feature of your graphing calculator to write an exponential function that models the relationship between the percent of carbon-14 remaining, y, and the number of years that have passed, x.

Answer 1

se (a) The model deco m in te sampt b) At 3.3 e 0-277 d 03D 000 1203 S730 .0001 20gモ CSI Scanned with CamScanner