Verified Answer :

  • Substitute \(n = 12\) into the expression \(\frac{n}{6} + 2\).
  • Simplify the fraction \(\frac{12}{6}\) to get 2.
  • Add 2 and 2 to reach the final result of 4.
  • The evaluated expression is \(\boxed{4}\).

Explanation

  1. Problem Analysis

The objective is to evaluate the mathematical expression \(\frac{n}{6} + 2\) for a given value \(n = 12\). This involves substituting the known value of \(n\) into the expression and performing the necessary arithmetic operations.

  1. Substitution

Substitute \(n = 12\) into the expression \(\frac{n}{6} + 2\). This gives us:
\[\frac{12}{6} + 2\]

  1. Evaluation

First, simplify the fraction \(\frac{12}{6}\) by performing the division:
\[\frac{12}{6} = 2\]
Next, add the remaining terms:
\[2 + 2 = 4\]
Thus, the value of the expression when \(n = 12\) is 4.

Examples

In everyday life, evaluating expressions is essential for tasks like calculating costs or planning budgets. For example, if you are buying items that cost a set amount per unit plus a fixed shipping fee, like calculating the total price of a package where each item costs \(\$1\) and there is a fixed \(\$2\) shipping fee for a set number of items, you might use an expression to find the total. If you order 12 items, the total price would be \(\frac{12}{6} + 2 = 4\) dollars, representing the cost per bundle of 6 items plus the shipping. This kind of substitution allows for quick financial planning and resource management.