If a rule is (3x,y) and a scale factor of 4 is used to transform it , what will the new rule be???

Show work

12x, 4y?

To understand how to transform a rule using a scale factor, let's break down the steps:

Step 1: Identify the original rule. In this case, the original rule is (3x, y).

Step 2: Apply the scale factor to each term in the rule. The scale factor is 4, so we will multiply 4 to both x and y.

Step 3: Write down the new rule. The new rule will be (4 * 3x, 4 * y).

Step 4: Simplify the expression. Multiply the numbers:

- For the x-term: 4 * 3x = 12x
- For the y-term: 4 * y = 4y

Therefore, the new rule, after applying a scale factor of 4, is (12x, 4y).

Hope this helps!