Question

Which statements about the equation y = 16x are true? Choose exactly two answers that are correct. A. One coordinate on the graph is (1, 16). B. The equation generates an additive numerical pattern. C. The equation is not an additive or multiplicative numerical pattern. D. Each value of y is 16 times greater than the x-value.

Answer 1

Answer: The answers are (A) and (D).

Step-by-step explanation: The given equation is

$y=16x.$

We are to select two correct statements out of the given four options about the above line.

If (x, y) = (1, 16), then the equation becomes

$y=16x~~~\Rightarrow 16=16\times 1,$

Which is always true, so (1, 16) is a coordinate on the graph of the given line. Therefore, option (A) is correct.

Since the given equation does not generate any additive or multiplicative numerical pattern, so the options (B) and (C) are not correct.

Also,

$y=16x\\\\\Rightarrow y=16\times x,$

that is every value of 'y' is 16 times greater than the corresponding value of 'x'. So, option (D) is correct.

Thus, the correct options are (A) and (D).