p(x) = 4(5x + 6)
 
What is the value of p(13)?

To find the value of \( p(13) \), we substitute \( x = 13 \) into the given function \( p(x) = 4(5x + 6) \).

\[
p(13) = 4(5(13) + 6)
\]

First, calculate inside the parentheses:

\[
5(13) = 65
\]

\[
65 + 6 = 71
\]

Now, multiply by 4:

\[
p(13) = 4 \times 71 = 284
\]

Thus, the value of \( p(13) \) is \( 284 \).

Would you like further details or have any questions?

Here are 5 related questions to expand on this:
1. What is the general form of a linear function?
2. How would the function change if the coefficient of \( x \) were doubled?
3. What is the derivative of \( p(x) \) if you were to differentiate it?
4. How would you solve \( p(x) = 0 \) for \( x \)?
5. What happens to the value of \( p(x) \) as \( x \) approaches negative infinity?

**Tip:** When evaluating functions, always substitute the value of \( x \) carefully and follow the order of operations (PEMDAS).

p(x) = 4(5x + 6) What is the value of p(13)?

Learn how to evaluate the linear function p(x) = 4(5x + 6) by substituting x = 13. This step-by-step solution explains the key algebraic concepts, including substitution and following the order of operations (PEMDAS). Suitable for students in Grades 6-8.

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