Answer:
A direct variation equation to represent this ; [tex]y = \frac{2}{3}x[/tex]
Step-by-step explanation:
Direct Variation states that a relationship between two variables in which one is a constant multiple of the other one.
In other words, when one of the variable changes then the other changes in proportion to the first.
If b is directly proportional to a, then the equation is in the i.e,
form [tex]b = ka[/tex] where k is the constant of variation.
Let y represents the number of muffins and x represents the amount of flour.
It is given that the number of muffins varies directly with the amount of flour you use.
As per the given statement:
y = 2 dozen corn and x = 3 cups of flour.
Then, by definition of Direct variation;
y = kx
Substitute the given values to find k;
[tex]2 = 3k[/tex]
Divide both sides by 3 we get;
[tex]k = \frac{2}{3}[/tex]
then, equation is, [tex]y = \frac{2}{3}x[/tex]
Therefore, a direct variation equation to represent this situation is; [tex]y = \frac{2}{3}x[/tex]
