1. **State the problem:** Noah's pay $p$ is directly proportional to the hours $h$ he works. Given $p=192$ when $h=8$, find $h$ when $p=336$. 2. **Write the formula for direct proportionality:** $$p = k h$$ where $k$ is the constant of proportionality. 3. **Find $k$ using the known values:** $$192 = k \times 8$$ Divide both sides by 8: $$k = \frac{192}{8}$$ Show cancellation: $$k = \frac{\cancel{192}}{\cancel{8}} = 24$$ So, $k=24$. 4. **Use $k$ to find $h$ when $p=336$:** $$336 = 24 \times h$$ Divide both sides by 24: $$h = \frac{336}{24}$$ Show cancellation: $$h = \frac{\cancel{336}}{\cancel{24}} = 14$$ 5. **Answer:** Noah needs to work **14 hours** to earn 336.