Discuss any concept that a team member is having a difficult time understanding.

One thing that I had a hard time doing was factoring out in the aids case. I knew I had to factor two out in the equation but it was hard with the equation that I had to work with.

Examine the importance and applicability of this week’s concepts to each team member and to society in general.

This week’s concepts were important to the homework because it helped me factor out the equations. That is something that I really struggle with and watching the videos really helped me solve the problem.

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Biology Some types of worms have a remarkable

ability to live without moisture. The following table

from one study shows the number of worms W surviving

afterx days without moisture.

x(days) 0 20 40 80 120 160

W (worms) 50 48 45 36 20 3

(a) Use the equation W = -0.0014 x2 - 0.076 x + 50

to find W for each x-value in the table.

W= 50,47.92,44.32,20.72,2

(b) Discuss how well this equation approximates the

data.

The answers were almost exactly the same as from the data.

(c) Use this equation to estimate the number of worms

on day 60 and on day 180. Which answer is most

accurate? Explain.

On day 60 I found out that there would be 40.4 worms and on day 180 I found it would be at -9.04. The more accurate data would be on day 60, on day 40 there were 44.32 worms estimated and on day 80 there were 34.96 so on day 60 the estimate of worms would be correct at 40.4.

AIDS Cases From 1993 to 2009 the cumulative number

N of AIDS cases in thousands can be approximated

byN = -2 x2 + 76 x + 430, where x = 0

corresponds to the year 1993.

(a)Use the equation to find N for each year in the table.

430,574,702,814,910,990

(b)Discuss how well this equation approximates the data.

This equation approximates the data pretty well. The equations numbers were about 150 less than the table.

(c) Rewrite the equation with the right side completely

factored.

Two was the greatest common factor so I divided two into the equation, so break that down first to simplify the numbers. Middle term needs to be 38, and so the final equation is -2(X+5)(x-43)

(d) Use your equation from part (c) to find N for each

year in the table. Do your answers agree with

those found in part (a)?

They are relatively close, I came up with….

430,574,624,814,910,990