If x varies inversely as y and x=10 when y=15, find the value of y when x=25
The inverse variation equation is expressed as xy = k, where k is the constant of variation.
We can find the value of k by plugging in the initial values of x and y: 10 * 15 = k
Simplifying, we find k = 150.
Now we can use this value of k to find the value of y when x = 25: 25 * y = 150
Dividing both sides of the equation by 25, we find y = 6.
To find the value of y when x=25 in an inverse variation, we can use the relationship between x and y.
In an inverse variation equation, we can write:
x * y = k
where k is a constant.
Given that when x=10, y=15:
10 * 15 = k
k = 150
Now, we can use this value of k to find the value of y when x=25:
25 * y = 150
y = 150 / 25
y = 6
So, when x=25, y=6.