College Math 1314

General Education Assessment: MATH 1314

Instructions:

Do not include your name on this assignment or in its file name. Blackboard will present the files to me for anonymous grading and it will keep track of your grade.

Answer questions #1–6 in complete sentences using the graph. Answer question #7 parts b, c, and d in complete sentences using your own mathematical evidence from part a.

Assignment:

When a certain prescription drug is taken orally by an adult, the amount of the drug (in mg/L) in the bloodstream at hours is given by the function shown in the graph.

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1. What is the concentration of the drug in the bloodstream at hours? (Type your response in complete sentences here.)

 

2. During what time interval is the drug level in the bloodstream increasing? Decreasing? (Type your response in complete sentences here.)

3. When does the level of the drug in the bloodstream reach its maximum value, and what is the concentration in the bloodstream at that time (Type your response in complete sentences here.)

4. After the drug reaches its maximum level in the bloodstream, how many additional hours are required for the level to drop to 16 mg/L? (Type your response in complete sentences here.)

5. As time increases, what does the graph predict about the level of the drug in the bloodstream? (Type your response in complete sentences here.)

6. In 3–4 sentences, summarize what happens to the amount of drugs in the system in the first 20 hours. Use numerical findings from #1–5 to validate your statements. (Type your response in complete sentences here.

 

7. Suppose that another drug is administered intravenously to an adult patient in a hospital as prescribed by a doctor. The relationship between the concentration of the drug (in mg/L) in the bloodstream and the time (in hours after administration) is modeled by the following function:

  0 2 4 6 8 10 12 14 16 18 20 22 24
                           

a. Using the function above, fill in a chart of the concentration of the drug in the bloodstream for the first 24-hour period after the administration at intervals of two hours. Write the concentration accurate to two decimal places as needed.

b. When will the concentration of the drug fall to a level of 0.5 mg/L? (Type your response in complete sentences here.)

c. When must the next dose of the drug be administrated to the patient in order to maintain a concentration above 1 mg/L and below 8 mg/L? Explain your reasoning. (Type your response in complete sentences here.)

d. What is a reasonable domain for this function? Justify why (and if) you would exclude and values. (Type your response in complete sentences here.)

General Education Assignment: MATH 1314 Page 2 of 3

General Education Assignment: MATH 1314

 

 

Page

1

 

of

2

 

General Education Assessment: MATH 1314

 

Instructions:

 

Do not include your name on this assignment or in its file name. Blackboard will present the files to me for

anonymous

grading and it will keep track of

 

your grade

.

 

Answer questions

#1

6 in complete sentences using the graph. Answer question #7 parts b, c,

 

and d in complete

sentences using your own mathematical evidence from part a.

 

Assignment:

 

When a certain prescription drug is taken orally by an adult, the amount of the drug (in mg/L) in the bloodstream at

??

 

hours is given by the function

??

=

??

(

??

)

 

show

n in the graph.

 

 

1.

 

What is the concentration of the drug in the bloodstream at

??

=

8

 

hours?

 

 

(Type

your response in complete sentences here

.)

 

 

 

 

General Education Assignment: MATH 1314 Page 1 of 2

General Education Assessment: MATH 1314

Instructions:

Do not include your name on this assignment or in its file name. Blackboard will present the files to me for

anonymous grading and it will keep track of your grade.

Answer questions #1–6 in complete sentences using the graph. Answer question #7 parts b, c, and d in complete

sentences using your own mathematical evidence from part a.

Assignment:

When a certain prescription drug is taken orally by an adult, the amount of the drug (in mg/L) in the bloodstream at ??

hours is given by the function ??=??(??) shown in the graph.

 

1. What is the concentration of the drug in the bloodstream at ??=8 hours?

 

(Type your response in complete sentences here.)

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