Question

janet is hooked on a new book series, the galaxy. each book in the series is the same length and chronicles a different year in the waka waka galaxy. janet has cleared off the top shelf of her bookcase to leave room for each of the books as they come out. each book takes up 2 inches of space along the shelf.

there is a proportional relationship between the number of books on the shelf, x, and how much shelf space the books take up (in inches), y.

graph this relationship. select two points to draw a line.

Explanation:

Step1: Define proportional equation

Each book uses 2 inches, so $y = 2x$.

Step2: Find first point (x=0)

Substitute $x=0$: $y=2(0)=0$. Point: $(0, 0)$.

Step3: Find second point (x=1)

Substitute $x=1$: $y=2(1)=2$. Point: $(1, 2)$.

Step4: Find third point (optional, for verification)

Substitute $x=5$: $y=2(5)=10$. Point: $(5, 10)$.

Answer:

Plot the points $(0, 0)$ and $(1, 2)$ (or $(0,0)$ and $(5,10)$), then draw a straight line connecting them to represent the proportional relationship.