**Given Information:**
- x1 = 5
- y1 = 7.5
- x2 = 7.5
- x and y vary directly

**Direct Variation:**
In mathematics, direct variation is a relationship between two variables in which one variable is a constant multiple of the other. In other words, if two variables x and y vary directly, it means that as x increases, y also increases proportionally, and as x decreases, y also decreases proportionally.

**Finding the Constant of Variation:**
To find the constant of variation, we can use the formula:

k = y1 / x1

where k is the constant of variation, y1 is the value of y when x is x1.

In this case, we have x1 = 5 and y1 = 7.5. Substituting these values into the formula, we get:

k = 7.5 / 5
k = 1.5

Therefore, the constant of variation is 1.5.

**Finding y2:**
Now that we have the constant of variation, we can use it to find y2 when x is x2.

We can use the formula:

y = k * x

where y is the variable we want to find (y2), k is the constant of variation, and x is the given value (x2).

Substituting the values we have, we get:

y2 = 1.5 * 7.5
y2 = 11.25

Therefore, when x is 7.5, y is 11.25.

Difference between X1 and Y2 = 2.5
thus.. x2+2.5 = 11
y2=11