If y varies directly to x, and y=14 when x=21, what is the value of x when y=7?
since y=kx, y/x is constant. Thus,
14/21 = 7/x
Wait lol i wasn't thinking right its not D
To solve this problem, we need to use the concept of direct variation. Direct variation means that if y varies directly with x, then y can be expressed as y = kx, where k is the constant of variation.
Given that y varies directly with x, we can find the value of k using the given data: y = 14 when x = 21. Now we can use this information to find the value of k.
Substituting the given values into the equation, we get 14 = k * 21. To find k, we divide both sides of the equation by 21: k = 14 / 21. Simplifying this gives k = 2/3.
Now that we know the value of k, we can determine x when y = 7. Substituting y = 7 and k = 2/3 into the equation y = kx, we can solve for x.
7 = (2/3) * x Multiply both sides by 3 to eliminate the fraction:
21 = 2x Divide both sides by 2:
x = 10.5
Therefore, the value of x when y = 7 is 10.5.