I don't understand inverse proportion too well.Can anyone help me with this problem?

Suppose x and y are inversely proportional. If x=28 when y=7, find the value of x when y=49

7 is 1/4 of 28

49 is 1/4 of ?

196!

Right.

Certainly! Inverse proportion refers to a relationship between two variables where an increase in one variable leads to a decrease in the other variable, and vice versa.

To solve for the value of x when y=49 in this specific problem, we can use the concept of inverse proportionality.

From the given information, we know that when x=28, y=7. This means that as x increases, y decreases, and vice versa, while maintaining the same ratio.

To find the value of x when y=49, we can set up a proportion using the initial values:

x₁ / y₁ = x₂ / y₂

Substituting the given values:

28 / 7 = x₂ / 49

To solve for x₂, we cross-multiply:

28 * 49 = 7 * x₂

1372 = 7 * x₂

Dividing both sides by 7:

x₂ = 1372 / 7

Simplifying:

x₂ ≈ 196

Therefore, when y=49, the value of x is approximately 196.