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Miku is making a salad dressing. The amount of olive oil needed for the salad dressing recipe is directly proportional to the number of servings. When making a dressing for 10 servings, she uses 250 milliliters of olive oil.

How much olive oil does Miku need to make a salad dressing for 18 servings?

Answer :

Answer:

450 milliliters

Step-by-step explanation:

To determine how much olive oil Miku needs for 18 servings, we can use the concept of direct proportionality. In this case, the amount of olive oil is directly proportional to the number of servings. This relationship can be expressed as:

[tex]y = kx[/tex]

where:

  • y is the amount of olive oil (in milliliters).
  • k is the constant of proportionality.
  • x is the number of servings.

We are given that for 10 servings, Miku uses 250 milliliters of olive oil. Therefore, substitute x = 10 and y = 250 into the equation and solve for the constant k:

[tex]250 = k \times 10[/tex]

[tex]k=\dfrac{250}{10}[/tex]

[tex]k=25[/tex]

Substitute k = 25 into the formula y = kx:

[tex]y = 25x[/tex]

To find the amount of olive oil needed for 18 servings, substitute x = 18 into y = 25x and solve for y:

[tex]y = 25 \times 18[/tex]

[tex]y =450[/tex]

Therefore, Miku will need 450 milliliters of olive oil to make a salad dressing for 18 servings.