Question

If y = 9x - 7, which of the following ordered pairs represents a possible input and output of the function?

Option 1: (1, 2)
Option 2: (-7, 0)
Option 3: (1, 9)
Option 4: (9, 11)

Answer 1

To find the ordered pair that represents a possible input and output of the function y = 9x - 7, we substitute the given values into the equation. Option 1: (1, 2) satisfies the equation, making it the correct choice.

Step-by-step explanation:

To determine which ordered pair represents a possible input and output of the given function, we need to substitute the values of x and y into the function equation y = 9x - 7. Let's check each option:

1. Option 1: (1, 2)
   Substituting x = 1 and y = 2 into the equation gives: 2 = 9(1) - 7 → 2 = 9 - 7 → 2 = 2. This option satisfies the equation and represents a possible input and output of the function.
2. Option 2: (-7, 0)
   Substituting x = -7 and y = 0 into the equation gives: 0 = 9(-7) - 7 → 0 = -63 - 7 → 0 = -70. This option does not satisfy the equation, so it does not represent a possible input and output of the function.
3. Option 3: (1, 9)
   Substituting x = 1 and y = 9 into the equation gives: 9 = 9(1) - 7 → 9 = 9 - 7 → 9 = 2. This option does not satisfy the equation, so it does not represent a possible input and output of the function.
4. Option 4: (9, 11)
   Substituting x = 9 and y = 11 into the equation gives: 11 = 9(9) - 7 → 11 = 81 - 7 → 11 = 74. This option does not satisfy the equation, so it does not represent a possible input and output of the function.

Therefore, the ordered pair that represents a possible input and output of the function is Option 1: (1, 2).