V varies inversely with T and V = 12 when T = 6. Which equation shows this relationship?
V = 2T
V = 72T--- My Answer
v=2/T
V=72/T
Nope - V = k/T
To find the equation that shows the relationship between V and T, we need to use the information given: V varies inversely with T, and when T = 6, V = 12.
The equation for inverse variation is of the form V = k/T, where k is the constant of variation.
To find the value of k, we can use the given values. When T = 6 and V = 12:
12 = k/6
To solve for k, we can multiply both sides of the equation by 6:
12 * 6 = k
72 = k
Therefore, the constant of variation, k, is equal to 72.
Now that we know the value of k, we can substitute it into the equation V = k/T:
V = 72/T
So, the correct equation that shows the relationship between V and T in this case is V = 72/T.
Therefore, my previous answer, "V = 72T," is incorrect. The correct equation is V = 72/T.