Question

1. Alexander’s grandparents get him a puppy for his thirteenth birthday, and he names the puppy Boomer. When Boomer is 1 month old, he weighs 4 pounds. When he is 2 months old, he weighs 7 pounds. In this relationship, x represents Boomer’s age (in months), and y represent her weight (in pounds). 1a.) Graph the two points for this relationship and the line passing through them on the coordinate plane. (2 points). 1b). How do you know the graph shows a proportional or non-proportional relationship? (1pt)

Answer 1

1a) Plot on the graph.

1b) Its proportional if y (weight) varies directly with variation in x(age) and fits the form y=k*x

Explanation:

1a)

draw graph with x axis in increments of 1 month

draw y-axis in increments of 1 pound.

put 1 dot at (1, 4)

put 1 dot at (2,7)

connect the 2 dots, and continue the line to hit one of the axes.

It will not hit the origin.

1b) show that y=kx

4=k*1 , so k=4

7=k*2 , so k=3.5

Since we have 2 different values for k (4 & 3.5), it's not proportional.