If V varies directly as G, and V =36 when G =4. Find V when G =11
I want the answer
To solve this problem, we can use the concept of direct variation, which states that when two variables are directly proportional, their ratio remains constant.
In this case, we are given that V varies directly as G, which can be represented by the equation V = kG, where k is the constant of variation. We need to find the value of V when G = 11.
To find the value of k, we can substitute the given values of V and G into the equation. We have V = 36 and G = 4. Plugging these values in, we get:
36 = k * 4
To solve for k, divide both sides of the equation by 4:
k = 36/4 = 9
Now that we know the value of k, we can use it to find V when G = 11. Substitute the values into the direct variation equation:
V = k * G
V = 9 * 11
V = 99
Therefore, when G = 11, V = 99.
since V = kG, V/G=k, a constant. So, you want to find V such that
V/11 = 36/4