Final answer:
The equation representing the situation where a coach buys snacks and water for 22 players with a total cost of $77, with each energy bar costing $2, is given by 22w + (22 x 2) = $77, where w is the price of a bottle of water.
Step-by-step explanation:
To find the equation that represents the situation where a coach is buying snacks for 22 players and pays a total of $77 for a bottle of water and an energy bar for each player, with the energy bar priced at $2, we introduce w as the price of a bottle of water.
The total cost for the energy bars is $2 per player for 22 players, which amounts to $2 \times 22 = $44. The remaining amount of money, which amounts to $77 - $44 = $33, is spent on water bottles. Since the coach buys one bottle per player, the equation that represents the cost spent on water bottles is 22w = $33. Solving this equation for w gives us the price of a single bottle of water.
Therefore, the equation representing the situation is:
22w + (22 \times 2) = $77