SOLUTION: Newborn blue whales are approximately 24 feet long and weigh 3 tons. Young whales are nursed for 7 months, and by the time of weaning they often are 53 feet long and weigh 23 tons.

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Question 1181160: Newborn blue whales are approximately 24 feet long and weigh 3 tons. Young whales are nursed for 7 months, and by the time of weaning they often are 53 feet long and weigh 23 tons. Let L and W denote the length (in feet) and the weight (in tons), respectively, of a whale that is t months of age.
a.) If the relation between L. and t is linear, express L. in terms of t.

b.) What is the daily increase in the length of a young whale? (Use 1 month= 30 days)
???
c.) IF W and t are linearly related, express W in terms of t.
d.) What is the daily increase in the weight of a young whale?

Answer by ikleyn(52803)   (Show Source): You can put this solution on YOUR website!
.
Newborn blue whales are approximately 24 feet long and weigh 3 tons. Young whales are nursed for 7 months,
and by the time of weaning they often are 53 feet long and weigh 23 tons.
Let L and W denote the length (in feet) and the weight (in tons), respectively, of a whale that is t months of age.
a) If the relation between L and t is linear, express L. in terms of t.
b) What is the daily increase in the length of a young whale? (Use 1 month= 30 days)
c) IF W and t are linearly related, express W in terms of t.
d) What is the daily increase in the weight of a young whale?
~~~~~~~~~~~~~~~

(b)  To find the daily increase in the length, divide the 7-months increase in length, which is 53-24 = 29 feet,

     by the number of days 7 months * 30 days = 210 days.



(d)  To find the daily increase in the weight, divide the 7-months increase in weight, which is 23-3 = 20 tons,

     by the number of days 7 months * 30 days = 210 days.



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