1. **Problem Statement:** We need to construct a function $M(n)$ that gives the amount of money each of the $n$ committees receives when a total budget of 60000 is split evenly. 2. **Formula and Explanation:** If the total budget is $B$ and there are $n$ committees, then each committee receives an equal share given by: $$M(n) = \frac{B}{n}$$ Here, $B = 60000$. 3. **Constructing the function:** Substitute $B$ into the formula: $$M(n) = \frac{60000}{n}$$ This function tells us how much money each committee gets based on the number of committees $n$. 4. **Evaluating for 8 committees:** Substitute $n = 8$ into the function: $$M(8) = \frac{60000}{8} = 7500$$ 5. **Interpretation:** Each of the 8 committees will receive 7500 from the total budget. **Final answers:** - (a) $M(n) = \frac{60000}{n}$ - (b) $M(8) = 7500$