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.