Answer :

Answer:

  • x = 12, y = 2.67

Step-by-step explanation:

If X is directly proportional to Y, we can use the proportionality constant to find the values of X and Y.

Given that X = 4.5 when Y = 3, we can set up the proportion:

  • X/Y = k

where k is the proportionality constant.

To find the value of X when Y = 6, we can use the proportion:

  • X/6 = 4.5/3

Cross-multiplying, we get:

  • 3X = (6)4.5

Simplifying, we have:

  • 3X = 27

Dividing both sides by 3, we find:

  • X = 9

Therefore, when Y = 6, the value of X is 9.

To find the value of Y when X = 12, we can rearrange the proportion:

  • X/Y = k
  • Y = X/k

Substituting the given values, we have:

  • Y = 12/4.5

Simplifying, we find:

  • Y ≈ 2.67

- Q.E. :))

If u have questions feel free to ask