Questions: Complete the input-output table: n 3n-7 1 2 3

Complete the input-output table: n 3n-7 1 2 3
Transcript text: Complete the input-output table: \begin{tabular}{|c|l|} \hline$n$ & $3 n-7$ \\ \hline 1 & \\ \hline 2 & \\ \hline 3 & \\ \hline & \\ \hline \end{tabular}
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Solution

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Solution Steps

Hint

To complete the input-output table, substitute each given value of 'n' into the linear expression '3n - 7' and perform the arithmetic to find the corresponding output. This process involves basic substitution and simplification.

Step 1: Define the Expression

The given expression is \(3n - 7\).

Step 2: Substitute the Input Values

We substitute the given values of \(n\) into the expression \(3n - 7\).

For \(n = 1\): \[ 3(1) - 7 = 3 - 7 = -4 \]

For \(n = 2\): \[ 3(2) - 7 = 6 - 7 = -1 \]

For \(n = 3\): \[ 3(3) - 7 = 9 - 7 = 2 \]

Final Answer

\[ \boxed{ \begin{array}{|c|c|} \hline n & 3n - 7 \\ \hline 1 & -4 \\ \hline 2 & -1 \\ \hline 3 & 2 \\ \hline \end{array} } \]

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