Submission Instructions:

All explanations must be typed. Supporting math work must be neat, written by hand, and suitable for copying or scanning.

The final document should be submitted as a single $.$pdf file or a single MS word document.

Use the heading "GEN ED ASSESSMENT: MATH $1314"$ on the assignment.

Do not include your name on the assignment or the file name. Be sure to write your CRN and G number of every page.

Submit your assignment to your instructor via Blackboard by the deadline.

Instructions: Read each question carefully. Answer in complete sentences.

The graph below shows the concentration of a drug $($in $m\frac{g}{L})$ in the bloodstream, $t$ hours after it is taken orally. Use the graph to answer a$-$f$.$

a$.$ What is the concentration after $8$ hours?

b$.$ Over what interval$($s$)$ does the concentration increase? Over what interval$($s$)$ does the concentration decrease?

c$.$ When is the drug at its maximum concentration? What is the maximum concentration of the drug?

d$.$ After the drug reaches its maximum concentration, how many hours are required for the concentration to decrease to $16m\frac{g}{L}?$

e$.$ What does the graph predict about the concentration after $1$ week? After $1$ month?

f$.$ Summarize the concentration of the drug in the bloodstream for the first $20$ hours after it is taken. Use findings from a$-$e to validate your statements.

Suppose another drug is administered intravenously. The concentration $c$ of the drug $($in $m\frac{g}{L})$ in the bloodstream, $t$ hours after it is administered, is modeled by the function $c(t)=\frac{20t}{t^2+4}$

a$.$ Determine when the concentration will be $0\mathrm{.}5m\frac{g}{L}.$

b$.$ Complete the table representing the concentration of the drug in the bloodstream, $t$ hours after administration. Round to two decimal places as needed.

$\backslash$table$[[t,0,2,4,6,8,10,12,14,16,18,20],[c(t),,,,,,,,,,,]]$

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