Connect a Ratio Table to Ordered Pairs
Build equivalent-ratio pairs and keep coordinate order clear.
Supplied materials
- Paper or a note app.
- Fictional recipe: blue:white = 2:3. Label x as cups blue and y as cups white.
Learn the idea
A ratio table records corresponding amounts. Multiplying both amounts in 2:3 by one, two, and three gives pairs (2,3), (4,6), and (6,9). Every row represents the same recipe, even though the batch totals differ.
An ordered pair uses the agreed order (blue, white), or (x,y). In a coordinate drawing, x is horizontal and y vertical. White is 3/2 times blue, so y = (3/2)x describes these pairs. Reversing coordinates reverses their meaning.
- Make a table with columns blue x and white y; fill 2,3 and 4,6 and 6,9.
- Plot these pairs on labeled axes, or describe their positions aloud.
- Check y ÷ x = 3/2 in every row, then find the row for 10 cups blue.
See the method in action
At x = 4, y = (3/2) × 4 = 6, so (4,6) means 4 cups blue and 6 cups white. Their total is 10 cups, but the y-coordinate is 6, not 10.
Check your reasoning
Your answer is temporary and is not saved to an account. Download your current answer before leaving or reloading. Written work on paper or in another app stays in your own file.
See the answer and explanation
(10,15)
Scale 2 cups blue to 10 with factor 5. White becomes 3 × 5 = 15, so the ordered pair is (10,15). The batch total 25 is not the white coordinate.
Take it further
Change the recipe to blue:white = 3:2. With 12 cups blue, the factor is 4 and white is 8; the pair is (12,8) and y = (2/3)x.
Nothing here is saved to an account or sent to a teacher. The answer download includes your current choice and any checked feedback.
Check the subject sources
These LifeStarter passages, scenarios and exercises are authored for this Academy with AI assistance and review. External resources keep their publishers’ terms. A grade label suggests a starting level; it does not establish alignment with your school’s complete requirements.