the variable Y is inversely proportional to variable X. if Y =0.4 when X = 2.5, find the value of the constant of proportionality
When two variables are inversely proportional, their product is constant. We can use this relationship to find the constant of proportionality in this problem.
Let k be the constant of proportionality. Then we have:
Y * X = k
We know that when Y = 0.4 and X = 2.5:
0.4 * 2.5 = k
k = 1
Therefore, the value of the constant of proportionality is 1.
To find the value of the constant of proportionality, we can use the formula for inverse variation:
Y = k/X
where k is the constant of variation.
Given that Y = 0.4 when X = 2.5, we can substitute these values into the equation:
0.4 = k/2.5
Now, we can solve for k:
k = 0.4 * 2.5
k = 1
Therefore, the value of the constant of proportionality (k) is 1.
To find the constant of proportionality, we can use the formula for inverse variation, which states that Y = k/X, where k is the constant of proportionality.
Given that Y is inversely proportional to X, we can substitute the given values into the formula to find the value of k.
Y = k/X
Substituting the known values, we have:
0.4 = k/2.5
To solve for k, we can multiply both sides of the equation by 2.5:
0.4 * 2.5 = k * (2.5/2.5)
1 = k/2.5
Multiplying both sides by 2.5:
2.5 = k
Therefore, the constant of proportionality (k) is equal to 2.5.