SOLUTION: At 10 weeks old a puppy weighs 9 pounds. At 30 weeks old the puppy weighs 24 pounds. Assume that puppy weight is a linear function in time in weeks for the first year. If thou opt

Algebra ->  Test -> SOLUTION: At 10 weeks old a puppy weighs 9 pounds. At 30 weeks old the puppy weighs 24 pounds. Assume that puppy weight is a linear function in time in weeks for the first year. If thou opt       Log On


   

Question 613240: At 10 weeks old a puppy weighs 9 pounds. At 30 weeks old the puppy weighs 24 pounds. Assume that puppy weight is a linear function in time in weeks for the first year. If thou opt growth is graphed with weeks on the x axis and pounds on the y axis, what is the slope of the graph? What is an equation of the line? How much did the puppy weigh when it was born? At what age will the puppy weigh 30 pounds?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi, 

At 10 weeks old a puppy weighs 9 pounds. At 30 weeks old the puppy weighs 24 pounds

(30,24)

(10,9)   m = 13%2F20

 y = (13/20)x + b

 9 = (13/20)10 + b

 5/2 = b

 y+=+%2813%2F20%29x+%2B+5%2F2 when born (x=0) weighed 2.5 lbs

30+=+%2813%2F20%29x+%2B+5%2F2

   %2855%2F2%29%2820%2F13%29=+x

    At 42.3 wks, puppy will weigh 30lbs