Find the value of y for a given value of x, if y varies directly with x.
If y varies directly with x, we can express this relationship as:
y = kx
where k is a constant of variation.
To find the value of y for a given value of x, we need to know the specific value of k. Without knowing the value of k, we cannot determine the exact value of y for a given x.
To find the value of y for a given value of x, when y varies directly with x, we need to know the constant of variation. The equation that represents this relationship is y = kx, where k is the constant of variation.
The constant of variation, k, can be determined by dividing any pair of corresponding values of x and y. Once we have the value of k, we can substitute the given value of x into the equation to find the corresponding value of y.
For example, let's say we have the equation y = 2x, and we want to find the value of y when x = 5.
Step 1: Determine the constant of variation
Since our equation is y = 2x, k = 2.
Step 2: Substitute the given value of x into the equation
y = 2 * 5
y = 10
Therefore, when x = 5, y = 10 in this particular case.
To find the value of y for a given value of x, if y varies directly with x, you need the constant of proportionality. The equation for direct variation is written as:
y = kx
where y is the dependent variable, x is the independent variable, and k is the constant of proportionality.
If you have the value of k, you can substitute it into the equation along with the given value of x to find the corresponding value of y. If you do not have the value of k, you cannot determine the specific value of y without further information.