The two equations that fit the table are y = -3x and y = -9.4 - 2x. A table can have two rules because different parts of the table may follow different patterns in the relationship between x and y.
The two equations that correctly fit the table are:
A. y = -3x
C. y = -9.4 - 2x
To determine which equations fit the table, we need to plug the values from the table into each equation and see if they match. For the first equation, when we substitute x = -4, -3, -2, -1, 0, and 1, we get the corresponding values of y as 12, 9, 6, 3, 0, and -3, which match the table. Similarly, for the third equation, when we substitute x = -4, -3, -2, -1, 0, and 1, we get the corresponding values of y as -22.8, -20.8, -18.8, -16.8, -14.8, and -12.8, which also match the table.
It makes sense for a table to have two rules because different parts of the table may follow different patterns. In this case, two different linear equations fit the table, indicating that the relationship between x and y changes at some point.