Question

The amount y (in cups) of flour is proportional to the number x of eggs in a recipe. The recipe call for 7 cups of flour for every 5 eggs. A. Write equation that represents the solution. B. Interpret the slope

Answer 1

`y = (7)/(5) x`

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

`k = (7)/(5)`

Hence, the equation (1) becomes
`y = (7)/(5) x` ......... (2)

Geometrically, this is a straight line passing through the origin and have slope equal to
`(7)/(5)`.

Now, this slope
`(7)/(5)` 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)