posted by rmz .
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?
We do not have the table to help you.
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
Sorry about that.
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 )
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?
Yup, I think I got it
e = .02(190) = 3.8 right?