To determine if the data represents a direct variation or inverse variation, we need to first check if y/x is a constant value.
Let's calculate y/x for each pair of data points:
For x = 2: y/x = 14/2 = 7
For x = 4: y/x = 28/4 = 7
For x = 6: y/x = 42/6 = 7
For x = 8: y/x = 58/8 = 7
Since y/x is constant at 7 for all the data points, the data represents direct variation.
Now, to find the equation to model the data, we can use the equation for direct variation, which is y = kx, where k is the constant of variation.
Using any of the data points, say (2, 14), we can find the value of k:
14 = k * 2
k = 14 / 2
k = 7
Therefore, the equation to model the data is:
y = 7x
The correct answer is C. y = 7x.
Do the data in the table represent a direct variation or inverse variation? Write an equation to model the data in the table?
Show your work!
x: 2, 4, 6, 8
y: 14, 28, 42, 58
A. y = x + 14
B. y = 2x + 14
C. y = 7x
D. y = 7x + 14
1 answer
3 answers