1. **State the problem:** We are given the relationship between the number of steps per minute $n$ and the pace length $P$ in metres for men as $$\frac{n}{P} = 140.$$ We need to fill in the missing values in the table using this formula. 2. **Formula and explanation:** The formula means that the ratio of the number of steps per minute to the pace length is always 140. So, for any given $n$ or $P$, we can find the missing value by rearranging the formula: $$n = 140 \times P$$ or $$P = \frac{n}{140}.$$ 3. **Fill in the missing values:** - For $n=70$, find $P$: $$P = \frac{70}{140} = \frac{\cancel{70}}{\cancel{140}} = 0.5.$$ - For $P=0.6$, find $n$: $$n = 140 \times 0.6 = 84.$$ 4. **Complete table:** | Number of paces per minute ($n$) | Pace length (metres) ($P$) | |----------------------------------|----------------------------| | 63 | 0.45 | | 70 | 0.5 | | 77 | 0.55 | | 84 | 0.6 | **Final answer:** The missing values are $P=0.5$ when $n=70$, and $n=84$ when $P=0.6$.