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-we

Question 1105031: 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 while the Saint Bernard grows from 6 kg to 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 josmiceli(19441) (Show Source): You can put this solution on YOUR website!
The collie's weight is a straight line over the 4 wks
You are given 2 points on that line
The St. Bernard's weight is a straight line over the 4 wks
You are given 2 points on that line
---------------------------------------------------
Call the start of the 4 wk period
Let = mass in kg
The 2 points for the collie:
( 0, 13.4 )
( 4, 17 )
The 2 points for the St. Bernard:
( 0, 6 )
( 4, 12.4 )
-------------------------------
Use the general point-slope formula:
For collie:

-----------------------
For St. Bernard:

-----------------------
find the intersection of the lines:
Set the masses equal to eachother

and

kg
Their masses will both be 22.91 kg in 10.57 weeks
Check the math

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