if x and y vary inversely and x=18 when y=8,find x when y=16
eh? inversely ==> xy = k
8*18 = k
k = 144
when y=16,
x*16 = 144
x = 9
To find the value of x when y = 16, we can use the inverse variation relationship between x and y.
The inverse variation equation is expressed as:
x * y = k
where k is the constant of variation.
We can use the given information to find the value of k. When x = 18 and y = 8:
18 * 8 = k
144 = k
Now that we know the value of k, we can find x when y = 16:
x * y = k
x * 16 = 144
To solve for x, divide both sides of the equation by 16:
x = 144 / 16
x = 9
Therefore, when y = 16, x = 9.
To find the value of x when y is equal to 16, we can use the concept of inverse variation. Inverse variation can be represented mathematically as:
xy = k
where x and y are the variables that vary inversely, and k is a constant.
Given that x = 18 when y = 8, we can use this information to find the value of k:
18 * 8 = k
k = 144
Now, we can use the value of k to find x when y = 16:
xy = k
x * 16 = 144
x = 144 / 16
x = 9
Therefore, when y is equal to 16, the value of x is 9.
x and y vary inversely ---y = kx , where k is a constant
given: x=18, y = 8
8 = 18k
k = 4/9
so y = (4/9)x or 9x = 4y
when y = 16
9x = 4(16)
x = 64/9
or
x1/y1 = y2/x2
18/8 = 16/x2
18x2 = 8(16)
x2 = 8(16)/18 = 64/9