Answer:
The equation relating the volume of water, y to the volume of flour, x is therefore;
y = 1/3×x
The quantity of water per liter of flour = 1/3 liters
The quantity of flour per liter of water = 3 liters
Step-by-step explanation:
The given information from the graph are;
At 0 liters of water, the volume of flour = 0 liters of flour
At 1 liter of water, the volume of flour = 3 liters of flour
The relationship between the volume of water and flour is linear given s follows;
The equation for a linear relationship is y = m·x + c
m = The gradient or slope of the line, c = the y-intercept
In the graph the y-intercept = 0 therefore, c = 0
The slope, m is (change in y-coordinate)/(Change in x-coordinate)
∴ m = (1 - 0)/(3 - 0) = 1/3
The equation relating the volume of water, y to the volume of flour, x is therefore;
y = 1/3×x
Such that when the question asks, how many liter of water is used per liter of flour, we get;
y = 1/3× 1 = 1/3 liters
Similarly when the question asks, how many liter of flour is used per liter of water, we get;
1 = 1/3×x
x = 3 × 1 = 3 liters.
