!<Answer>!
To match each table with the equation it represents, we can analyze the relationship between x and y in each table.
Table 1:
x 0 2 4
y 0 3 6
In Table 1, we can see that the value of y is equal to 3 times the value of x. Therefore, the equation that represents this table is y = 3x.
Table 2:
x 0 3 6
y 0 1 2
In Table 2, we can observe that the value of y is equal to the value of x. Hence, the equation that represents this table is y = x.
Table 3:
x 0 3 6
y 0 9 18
In Table 3, we notice that the value of y is equal to the cube of the value of x. Consequently, the equation that represents this table is y = x^3 (y = x cubed).
To summarize:
Table 1 matches with the equation y = 3x.
Table 2 matches with the equation y = x.
Table 3 matches with the equation y = x^3 (y = x cubed).
By analyzing the relationship between the x and y values in each table, we can determine the corresponding equation.
~ Sun
