We know that y varies directly as x. We also know that y=12 when x=8, and want to find y when x=14. To do so, we will use a proportion that relates the values.
y_1/x_1=y_2/x_2
Next, we can substitute y_1=12, x_1=8, y_2=y, and x_2=14. Then, we can use cross multiplication to solve for y. Let's do it!
Functions where y varies directly with x, direct variation equations, follow a specific format.
y= mx
In this form, m≠0. By substituting the given values for x and y into the equation, we can determine the constant of variation m.
Now that we have the constant of variation, we can write the function.
y=1.5x
With this equation, we can find any variable when we are given the other. In this case, we are looking for y when x=14.
