The equivalent ratios are: (1, 2), (2, 4), and (3, 6)
The graph can be plotted on a coordinate grid as shown in the diagram attached below.
Recall:
- Ratio between two quantities, x and y, can be represented by the equation, y = kx, where k is the constant of proportionality.
Let x = number of books
y = cost (dollars)
Using any of the ordered pairs from the table, say, (7, 14), find k:
k = y/x = 14/7 = 2
Write the equation by plugging in the value of k into y = kx
y = 2x
Using the equation, y = 2x, find the equivalent ratios when x = 1, x = 2, and x = 3:
When x = 1:
y = 2(1) = 2 --> (1, 2)
When x = 2:
y = 2(2) = 4 ---> (2, 4)
When x = 3:
y = 2(3) = 6 ---> (3, 6)
The graph for the three equivalent ratios, (1, 2), (2, 4), and (3, 6) can be plotted on a coordinate grid as shown in the diagram attached below.
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