Given that y varies directly with x, write a direct variation equation that relates x and y.
x=1/3 <---(fraction), y=2
**Provide an explanation as well, please.
did that
find y when x = 8 if y = 4 when x = 5
To write a direct variation equation, we need to use the formula: y = kx, where "k" is the constant of variation.
In this case, the problem states that y varies directly with x. This means that y is directly proportional to x, and the ratio of y to x remains constant.
To find the value of "k," we can substitute the values given for x and y into the equation and solve for k.
We are given x = 1/3 and y = 2. Plugging these values into the equation, we get:
2 = k(1/3)
To solve for k, we can multiply both sides of the equation by 3 to cancel out the fraction:
2 * 3 = k * (1/3) * 3
6 = k
Therefore, the direct variation equation that relates x and y is:
y = 6x