Subjects algebra

Water Flour Ratio Bc69C7

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Question: Water (liters) Flour (liters) How many liters of water does Bao use per liter of flour? liters How many liters of flour does Bao use per liter of water? Graph shape: a line on a coordinate grid rising from the origin to the point (3, 1), with an arrow continuing up and to the right; position_hint: center
1. **State the problem:** We have a graph showing the relationship between water and flour used by Bao. The line passes through the origin $(0,0)$ and the point $(3,1)$. 2. **Interpret the graph:** The point $(3,1)$ means Bao uses $3$ liters of water for $1$ liter of flour. 3. **Find liters of water per liter of flour:** Since the point is $(3,1)$, the ratio of water to flour is $$\frac{3 \text{ liters water}}{1 \text{ liter flour}} = 3.$$ So, Bao uses $3$ liters of water per liter of flour. 4. **Find liters of flour per liter of water:** To find how many liters of flour Bao uses per liter of water, take the reciprocal of the ratio: $$\frac{1 \text{ liter flour}}{3 \text{ liters water}} = \frac{1}{3}.$$ So, Bao uses $\frac{1}{3}$ liters of flour per liter of water. 5. **Summary:** - Water per liter of flour: $3$ - Flour per liter of water: $\frac{1}{3}$ This matches the graph's slope, which is $\frac{\text{rise}}{\text{run}} = \frac{1}{3}$, confirming the calculations.
0,0(3,1)y = \frac{1}{3}x