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To evaluate the expression \( v(c) = |c+2| + 3 \) at \( c = 6 \):

1. Substitute \( c \) with 6 in the expression:
   \[
   v(6) = |6+2| + 3
   \]

2. Simplify inside the absolute value:
   \[
   |8| + 3
   \]

3. Since \( |8| = 8 \), we further simplify:
   \[
   8 + 3 = 11
   \]

Therefore, \( v(6) = 11 \). The correct answer is \( 11 \).

Would you like further details on this solution or do you have any other questions? Here are some related questions you might find helpful:

1. How would the answer change if \( c \) were a negative number?
2. What is the significance of the absolute value in the function \( v(c) \)?
3. How would the graph of \( v(c) \) look like based on its equation?
4. Can you explain why we add 3 to the absolute value in this function?
5. What would happen if the equation was \( v(c) = |c-2| + 3 \) instead?

Tip: When dealing with absolute value equations, remember that the expression inside the absolute value can result in the same value whether it is positive or negative, affecting the overall function's behavior.

Learn how to evaluate the function v(c) = |c + 2| + 3 at c = 6. This problem involves absolute value and basic algebra concepts, suitable for students in Grades 6-8.

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