Question

Consider the following "function puzzle." The table below displays several clues:

Input: 2, Output: 10
Input: 5, Output: 19
Input: 8, Output: 28
Input: 1, Output: 7
Input: 13, Output: 43
Input: 9, Output: 31
Input: 12, Output: 40
Input: 16, Output: 52
Write an equation that represents this puzzle. Let y be your variable for the output, and let x be your variable for the input. Start your answer with "y =".
a) y = 3x + 4
b) y = 2x + 5
c) y = 2x + 3
d) Syntax error

Answer 1

The equation that represents the function puzzle is y = 3x + 4.

Step-by-step explanation:

The given function puzzle can be represented by the equation y = 3x + 4. The clue examples show that the output (y) is calculated by multiplying the input (x) by 3 and adding 4. For example, when x=2, y=10 because 3(2) + 4 = 10. Similarly, when x=5, y=19 because 3(5) + 4 = 19.