If y varies directly with x and y=88 when x=44, find x when y=4.
To find the value of x when y = 4, we need to use the direct variation equation.
Since y varies directly with x, we can write the equation as:
y = kx
where k is the constant of variation.
To find the value of k, we can use the given values: when x = 44, y = 88.
Substituting these values into the equation, we have:
88 = k * 44
To solve for k, divide both sides of the equation by 44:
k = 88/44
k = 2
Now that we have the value of k, we can use it to find x when y = 4.
Substituting y = 4 and k = 2 into the equation, we have:
4 = 2x
To solve for x, divide both sides of the equation by 2:
x = 4/2
x = 2
Therefore, when y = 4, x = 2.
To find the value of x when y equals 4, we need to use the direct variation equation. The equation for direct variation is y = kx, where k is the constant of variation.
Given that y varies directly with x, we can find the constant of variation by using the initial values for y and x. We are given that y is 88 when x is 44.
Plugging these values into the equation, we have: 88 = k * 44.
Dividing both sides of the equation by 44, we get: k = 88/44 = 2.
Now that we have the constant of variation, we can substitute it into the equation and solve for x when y equals 4.
The equation is: 4 = 2x.
Dividing both sides of the equation by 2, we get: x = 4/2 = 2.
Therefore, when y is 4, x is equal to 2.
To find the value of x when y = 4 in a direct variation equation, we can use the formula:
y = kx
where k represents the constant of variation. In this case, we need to find the value of k. We can do this by using the given information:
When x = 44, y = 88. So we can substitute these values into the equation:
88 = k * 44
To solve for k, divide both sides of the equation by 44:
88/44 = k
Simplifying the equation:
2 = k
Now that we know the value of k, we can substitute it back into the equation to find x when y = 4:
4 = 2 * x
To solve for x, divide both sides of the equation by 2:
4/2 = x
Simplifying the equation:
2 = x
Therefore, when y = 4, x is equal to 2.