1. The graph below shows the concentration of a drug (in mg/L) in the bloodstream, t hours after it is taken orally. Use the graph to answer a-f. 80 a. What is the concentration after 8 hours? 76 72...


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1. The graph below shows the concentration of a drug (in mg/L) in the bloodstream, t hours after it is taken<br>orally. Use the graph to answer a-f.<br>80<br>a. What is the concentration after 8 hours?<br>76<br>72<br>b. Over what interval(s) does the concentration<br>increase? Over what interval(s) does the<br>68<br>64<br>60-<br>concentration decrease?<br>56<br>c. When is the drug at its maximum concentration?<br>What is the maximum concentration of the drug?<br>52<br>48<br>44-<br>40-<br>d. After the drug reaches its maximum<br>concentration, how many hours are required for the<br>concentration to decrease to 16 mg/L?<br>36<br>32<br>28<br>24<br>20<br>e. What does the graph predict about the<br>16<br>concentration after 1 week? After 1 month?<br>12<br>f. Summarize the concentration of the drug in the<br>8-<br>bloodstream for the first 20 hours after it is taken.<br>| 12 13 14 15 16 17 18 19 20<br>Use findings from a-e to validate your statements.<br>2. Suppose another drug is administered intravenously. The concentration c of the drug (in mg/L) in the<br>20t<br>bloodstream, t hours after it is administered, is modeled by the function c(t)<br>t*+4<br>a. Determine when the concentration will be 0.5 mg/L.<br>b. Complete the table representing the concentration of the drug in the bloodstream, t hours after<br>administration. Round to two decimal places as needed.<br>t<br>2<br>4<br>6<br>8<br>10<br>12<br>14<br>16<br>18<br>20<br>c(t)<br>Page 2 of 5<br>c. What is a reasonable domain for this function? Justify your answer.<br>d. When must the patient receive the next intravenous dose of the drug in order to maintain a<br>concentration above 1 mg/L and below 8 mg/L? Explain your reasoning.<br>e. Compare the concentration of the oral drug (#1) and the concentration of the intravenous drug (#2) over<br>the first 20 hours after it is given.<br>

Extracted text: 1. The graph below shows the concentration of a drug (in mg/L) in the bloodstream, t hours after it is taken orally. Use the graph to answer a-f. 80 a. What is the concentration after 8 hours? 76 72 b. Over what interval(s) does the concentration increase? Over what interval(s) does the 68 64 60- concentration decrease? 56 c. When is the drug at its maximum concentration? What is the maximum concentration of the drug? 52 48 44- 40- d. After the drug reaches its maximum concentration, how many hours are required for the concentration to decrease to 16 mg/L? 36 32 28 24 20 e. What does the graph predict about the 16 concentration after 1 week? After 1 month? 12 f. Summarize the concentration of the drug in the 8- bloodstream for the first 20 hours after it is taken. | 12 13 14 15 16 17 18 19 20 Use findings from a-e to validate your statements. 2. Suppose another drug is administered intravenously. The concentration c of the drug (in mg/L) in the 20t bloodstream, t hours after it is administered, is modeled by the function c(t) t*+4 a. Determine when the concentration will be 0.5 mg/L. b. Complete the table representing the concentration of the drug in the bloodstream, t hours after administration. Round to two decimal places as needed. t 2 4 6 8 10 12 14 16 18 20 c(t) Page 2 of 5 c. What is a reasonable domain for this function? Justify your answer. d. When must the patient receive the next intravenous dose of the drug in order to maintain a concentration above 1 mg/L and below 8 mg/L? Explain your reasoning. e. Compare the concentration of the oral drug (#1) and the concentration of the intravenous drug (#2) over the first 20 hours after it is given.
Jun 10, 2022
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