Question

a rule for creating a pattern is given below. the rule begins with a number called the input and creates a number called the output.

rule: multiply the input by 6 to get the output.

which input and output table works for the rule?

choose 1 answer:

(a)
\

$$\begin{tabular}{|c|c|} \\hline input & output \\\\ \\hline 2 & 12 \\\\ \\hline \\end{tabular}$$

(b)
\

$$\begin{tabular}{|c|c|} \\hline input & output \\\\ \\hline 1 & 7 \\\\ \\hline \\end{tabular}$$

(c)
\

$$\begin{tabular}{|c|c|} \\hline input & output \\\\ \\hline 0 & 6 \\\\ \\hline \\end{tabular}$$

Explanation:

Define the mathematical rule

$$ \text{Output} = \text{Input} \times 6 $$

Test option A

$$
LATEXBLOCK0
$$

Test options B and C

$$
LATEXBLOCK1
$$

Answer:

• (A) Input: 2, Output: 12 (Correct answer)
• (B) Input: 1, Output: 7
• (C) Input: 0, Output: 6