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The question asks to express \( y \) in terms of \( x \) and \( k \), where \( y \) is directly proportional to \( x \), and \( k \) is a constant of proportionality.

When two quantities are directly proportional, they have the relationship:

\[
y = kx
\]

Thus, the correct option is **4. \( y = kx \)**.

Would you like further clarification on the concept? Here are some related questions to deepen your understanding:

1. What is the difference between direct and inverse proportionality?
2. How would the equation change if \( y \) were inversely proportional to \( x \)?
3. Can you give an example of a real-world situation where two variables are directly proportional?
4. How can you determine the constant of proportionality \( k \) if you are given specific values for \( x \) and \( y \)?
5. What happens to \( y \) when \( x \) doubles, assuming \( y \) is directly proportional to \( x \)?

**Tip**: When variables are directly proportional, increasing one leads to a proportional increase in the other, based on the constant \( k \).

Given that y is directly proportional to x, express y in terms of x and k, where k is a constant of proportionality.

Learn how to express y in terms of x and k when y is directly proportional to x. This algebra problem covers the direct proportionality formula and is suitable for students in Grades 7-9.

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