The value of y is directly proportional to the value of x. When y=36 ,x=45. What is the value of y when x = 1/3

1. Start with the proportionality relationship: y = kx
2. Substitute the given values \( y = 36 \) and \( x = 45 \) to find \( k \): 36 = k \cdot 45
3. Solve for \( k \): k = \frac{36}{45} = \frac{4}{5}
4. Use the found constant \( k = \frac{4}{5} \) to find \( y \) when \( x = \frac{1}{3} \):
y = \frac{4}{5} \cdot \frac{1}{3}
5. Calculate to find \( y \):
y = \frac{4}{15}
6. Final answer: \( y = \frac{4}{15} \)