Question

Which of the following ordered pairs is in the solution set for y=8x−1
A) 2,16
B) 2,82
C) 2,81
D) 2,15

Answer 1

To determine which of the ordered pairs is in the solution set for the equation \( y = 8x - 1 \), we can substitute \( x \) from each ordered pair into the equation and check if the corresponding \( y \) value matches.

The equation is:
\[ y = 8x - 1 \]

Now, let's check each option:

**A) (2, 16)**
\( x = 2 \)
\[ y = 8(2) - 1 = 16 - 1 = 15 \]
This does not match \( y = 16 \).

**B) (2, 82)**
\( x = 2 \)
\[ y = 8(2) - 1 = 16 - 1 = 15 \]
This does not match \( y = 82 \).

**C) (2, 81)**
\( x = 2 \)
\[ y = 8(2) - 1 = 16 - 1 = 15 \]
This does not match \( y = 81 \).

**D) (2, 15)**
\( x = 2 \)
\[ y = 8(2) - 1 = 16 - 1 = 15 \]
This matches \( y = 15 \).

Thus, the correct answer is \( \text{D) } (2, 15) \).