Question

a recipe calls for 15 oz of flour for every 8 oz of milk. a. is the relationship between ounces of flour and ounces of milk proportional? explain.b. if you use 15 oz of milk how much flour should you use?

Answer 1

Given:

15 oz of flour is used for every 8 oz of milk

Part A:

Let's determine if the relationship between ounces of floor and ounces of milk is proportional.

When we say y is directly proportional to x, it is written as:

y = kx

Where k is the constant of proportionality

Let y represent ounces of floor

Let x represent ounces of milk

Let's find the constant of proportionality, k:

`\begin{gathered} 15=8k \\ \\ k=(15)/(8) \\ \end{gathered}`

Thus, the constant of proportionality is 15/8.

`y=(15)/(8)x`

Yes, the relationship between ounces of flour and ounces of milk is proportional.

• Part B:

Let's determine how much flour you should use if you use 15 oz of milk.

From the equation in part A, substitute 15 for x and solve for y.

We have:

`\begin{gathered} y=(15)/(8)\ast15 \\ \\ y=(15\ast15)/(8) \\ \\ y=(225)/(8) \\ \\ y=28(1)/(8) \end{gathered}`

Therefore, if you use 15 oz of milk, you will use 28⅛ oz of flour

ANSWER:

a. Yes, it is a proportional relationship

b. 28⅛ oz of floor