Question

If y varies directly with x and y=88 when x=44, find x when y=4.

Answer 1

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.