Yes, y varies directly with x. The equation for direct variation can be written as y = kx, where k is the constant of variation.
To find the value of k, we can pick any pair of values for x and y and substitute them into the equation.
Let's use the first pair (x=2, y=10):
10 = k * 2
Next, solve for k:
k = 10/2
k = 5
Therefore, the equation for direct variation is y = 5x.
For the data in the table, does y vary directly with x? If it does, write an equation for the direct variation. x y 2 10 4 24 6 36 (1 point) Responses yes
3 answers
For the data in the table, does y vary directly with x? If it does, write an equation for the direct variation. x y 2 10 4 24 6 36 (1 point) Responses yes
Yes, y varies directly with x. We can determine this by observing that as x increases, y also increases in a consistent manner.
To write an equation for the direct variation, we can use the formula y = kx, where k represents the constant of variation.
Let's find the value of k by using the first pair (x=2, y=10):
10 = k * 2
By solving this equation, we find:
k = 10/2
k = 5
Therefore, the equation for direct variation is:
y = 5x
To write an equation for the direct variation, we can use the formula y = kx, where k represents the constant of variation.
Let's find the value of k by using the first pair (x=2, y=10):
10 = k * 2
By solving this equation, we find:
k = 10/2
k = 5
Therefore, the equation for direct variation is:
y = 5x