The equation is:

\[
C = \frac{5}{2}(k - 97)
\]

To solve for \( C \), substitute the value of \( k \) (if known), or simplify the expression by distributing the \(\frac{5}{2}\) across the terms inside the parentheses. Here's the simplified form:

\[
C = \frac{5}{2}k - \frac{5}{2} \times 97
\]
\[
C = \frac{5}{2}k - 242.5
\]

So the equation becomes:

\[
C = \frac{5}{2}k - 242.5
\]

Would you like to substitute a value for \( k \), or do you need any further details?

Here are 5 related questions to explore further:
1. What is the value of \( k \) in this context?
2. How do you solve for \( k \) if \( C \) is known?
3. Can you express \( k \) in terms of \( C \)?
4. What happens to \( C \) if \( k \) increases or decreases?
5. How do you interpret this equation in a real-world scenario?

**Tip:** Always distribute carefully when solving for unknowns to avoid mistakes!

Discover how to solve the algebraic equation C = 5/2(k - 97) using the distributive property. This step-by-step guide simplifies the equation, showing how to express C in terms of k, and includes insights on key algebra concepts for students in Grades 7-9.

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