What is the direct variation equation for the table of ordered pairs?
x y
4 4.8
8 9.6
11 13.2
Question 5 options:
y = 1.2x
y = 3.5x
y = 0.8x
y = 4.8x
To determine the direct variation equation, we need to find the constant ratio between the x-values and the y-values.
For the first pair of ordered pairs (4, 4.8):
y/x = 4.8/4 = 1.2
For the second pair of ordered pairs (8, 9.6):
y/x = 9.6/8 = 1.2
For the third pair of ordered pairs (11, 13.2):
y/x = 13.2/11 = 1.2
Since the constant ratio is always 1.2, the direct variation equation for the table of ordered pairs is y = 1.2x.
Therefore, the correct option is:
y = 1.2x