The slope, equation and number of eggs used for 12 cups of flour is required.
The slope of the equation is [tex]\dfrac{3}{2}[/tex]
This means for 3 cups of flour 2 eggs will be used.
The equation is [tex]y=\dfrac{3}{2}x[/tex]
For 12 cups of flour 8 eggs will be required.
The cup of flour is y
The number of eggs is x
cups of flour is proportional to number of eggs
[tex]y\propto x[/tex]
6 cups of flour for every 4 eggs
[tex]y=kx\\\Rightarrow 6=k4\\\Rightarrow k=\dfrac{6}{4}\\\Rightarrow k=\dfrac{3}{2}[/tex]
The slope of the equation is [tex]\dfrac{3}{2}[/tex]
This means for 3 cups of flour 2 eggs will be used.
The equation is
[tex]y=\dfrac{3}{2}x[/tex]
If 12 cups of flour are used
[tex]12=\dfrac{3}{2}x\\\Rightarrow x=12\times \dfrac{2}{3}=8\ \text{eggs}[/tex]
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