Question: In a beanbag toss, players earn $2$ points for each beanbag that lands on the game board and $5$ points for each beanbag that lands in the hole.
Let $b$ equal the bags that land on the board.
Let $h$ equal the bags that land in the hole.
Write an expression to represent a player's total score.
1. **State the problem:** We need to find an expression for the total score based on the number of beanbags landing on the board and in the hole.
2. **Identify variables and points:**
- Each beanbag on the board earns $2$ points.
- Each beanbag in the hole earns $5$ points.
- Let $b$ be the number of beanbags on the board.
- Let $h$ be the number of beanbags in the hole.
3. **Write the expression:**
The total score $S$ is the sum of points from beanbags on the board and in the hole:
$$S = 2b + 5h$$
4. **Explanation:**
- Multiply the number of beanbags on the board $b$ by $2$ points each.
- Multiply the number of beanbags in the hole $h$ by $5$ points each.
- Add these two amounts to get the total score.
**Final answer:**
$$\boxed{S = 2b + 5h}$$