Biology Some types of worms have a remarkable ability to live without moisture.
ID: 3105241 • Letter: B
Question
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 after x
days without moisture.
x (days) 0 20 40 80 120 160
W (worms) 50 48 45 36 20 3
(a) Use the equation W= - 0.0014x^2 – 0.076x + 50
to find W for each x-value in the table.
(b) Discuss how well this equation approximates 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.
Explanation / Answer
a) 0.0014 * (0)^2 - 0.076 (0) + 50 = 50 0.0014 * (20)^2 - 0.076 (20) + 50 = 47.92 0.0014 * (40)^2 - 0.076 (40) + 50 = 44.72 0.0014 * (80)^2 - 0.076 (80) + 50 = 34.96 0.0014 * (120)^2 - 0.076 (120) + 50 = 20.72 0.0014 * (160)^2 - 0.076 (160) + 50 = 2 b) With rounding it is off no more than one worm. c) 0.0014 * (60)^2 - 0.076 (60) + 50 = 40.4 0.0014 * (180)^2 - 0.076 (180) + 50 = (-9.04) = 0 *can't have negative worms so there would be none left so day sixty would be most accurate.
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