Answer:
[tex]y = \frac{7}{5} x[/tex]
Step-by-step explanation:
In a recipe egg and flour are used in the amount y (in cups) of flour to x number of eggs in a recipe and y is proportional to x.
So, we can write y ∝ x
⇒ y = kx ....... (1) (Where k is the proportionality constant)
Now, given that the recipe calls for 7 cups of flour for every 5 eggs.
Therefore, putting x = 5 and y = 7 in the equation (1) we get
[tex]k = \frac{7}{5}[/tex]
Hence, the equation (1) becomes [tex]y = \frac{7}{5} x[/tex] ......... (2)
Geometrically, this is a straight line passing through the origin and have slope equal to [tex]\frac{7}{5}[/tex].
Now, this slope [tex]\frac{7}{5}[/tex] interprets the rate of use of flour (in cups) with respect to the unit use of eggs and it has unit cups per egg. (Answer)
