Find the constant (k) of proportionality in the table. What equation represents the table? find the correct answer
the box has for x on top 2, 3, 8, 10,
and the bottom has 8, 12, 32, 40,
A. y = 1/4 x
B. y = 4x
C. y=8x + 2
D. y=1/8x
To find the constant of proportionality, we can divide the second number in each pair by the first number to determine the ratio.
For x = 2, y = 8: 8/2 = 4
For x = 3, y = 12: 12/3 = 4
For x = 8, y = 32: 32/8 = 4
For x = 10, y = 40: 40/10 = 4
Since the ratio is consistently 4, the constant of proportionality is 4. The correct equation that represents the table is B. y = 4x