SOLUTION: For part of the first year of a dog's life, its growth can be approximated using a linear function. Emilie has two puppies: a Border collie and a younger Saint Bernard. During a 4-

Question 1106026: For part of the first year of a dog's life, its growth can be approximated using a linear function. Emilie has two puppies: a Border collie and a younger Saint Bernard. During a 4-week period, the Border collie grows from 13.4 kg to 17 kg, while the Saint Bernard grows from 6 kg 12.4 kg. Suppose each dog grows at a Constant rate Will the dogs ever have the same mass? If so, approximately what is the mass?
Answer by josgarithmetic(39628) (Show Source): You can put this solution on YOUR website!
At some time a, border collie 13.4 kg
and a+4 week, border collie 17 kg
And assuming a is any ARBITRARY beginning time 0 weeks
this is two points (0,13.4) and (4,17).

Similarly for the Saint Bernard, the two points would be (0,6) and (4,12.4).

If you look at growth and mass specifications for these breeds you can judge if the data in your problem description make sense.

Finding equations of lines
-
Border Collie
;

-
Saint Bernard

-

RED for border collie
GREEN for saint bernard

About 10.5 weeks until both are about 22.9 kg
(find by equating the two expressions, 0.9x+13.4=1.6x+6)
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