Question

A rule for creating a pattern is given below. Rule: Multiply X by 3. Then subtract 1 from the result to get y.

​

Answer 1

y=3x-1

Step-by-step explanation:

Answer 2

The rule for creating the pattern is (y = 3x - 1).

Step-by-step explanation:

The given rule instructs to multiply (x) by 3 and then subtract 1 from the result to obtain (y). Mathematically, this can be expressed as (y = 3x - 1). In this equation, (x) represents the input value, and (y) represents the output value generated by applying the rule. The multiplication of (x) by 3 scales the input, and subtracting 1 introduces a constant shift. This linear equation defines a pattern where each output (y) is three times the corresponding input (x), with an additional subtraction of 1.

For example, if (x) is 2, applying the rule yields
`\(y = 3 * 2 - 1 = 5\).` Similarly, for any given (x), you can use this rule to determine the corresponding (y) value by multiplying (x) by 3 and subtracting 1. This pattern follows a consistent mathematical operation, making it predictable and easy to generate values for a given input.

In conclusion, the pattern rule (y = 3x - 1) encapsulates the instructions provided, reflecting a linear relationship between (x) and (y) that is defined by multiplication and subtraction.