Answer: The correct option is (D) [tex]y=7x.[/tex]
Step-by-step explanation: We are given to select the correct equation that is true for all x and y in the following table :
x 1 2 3 4
y 7 14 21 28
From the above table of values of x and y, we note the following :
[tex](1,7)~~~~\Rightarrow 7=7\times 1,\\\\(2,14)~~~\Rightarrow 14=7\times2,\\\\(3,21)~~~~\Rightarrow 21=7\times3,\\\\(4,28)~~~~\Rightarrow 28=7\times4.[/tex]
Therefore, we can conclude the following equation :
[tex]y=7\times x\\\\\Rightarrow y=7x.[/tex]
Thus, the correct option is (D).
