# math

posted by on .

The Egg Problem. A certain zoo kept records of the
relationship between the weight of a mother ostrich and
the weight of her egg. Data for three birds is shown in
the next table.
a. Estimate the weight of an egg from a mother ostrich
weighing 175 lbs.
b. How much would you expect the egg to weigh from
a mother ostrich weighing 190 lbs?

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Ostrich 1 Ostrich 2 Ostrich 3
Weight of Mother 120 lbs. 160 lbs. 180 lbs.
Weight of Egg 2.4 lbs 3.2 lbs 3.6 lbs

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From your data, form three ordered pairs
(120,2.4), (160,3.2) and (180,3.6)

there is a linear relation between the 3 points, they lie in a straight line.
So you can find the equation of egg weight (e) vs ostrich mother weight (w)

the slope between any two of the three points is .02
so e = .02w + b , (using the standard y=mx+b )
using (120,2.4)
2.4 = .02(120) + b
b = 0

so e = .02w ---- a direct variation.

so for a) sub in 175 for w to get
e = .02(175) = 3.5

You do b), ok?

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Yup, I think I got it

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e = .02(190) = 3.8 right?