Question

The photography club is selling hot chocolate at soccer games to raise money for new cameras. The table shows their profit per game for the first five games. Game 1: -12.50. Game 2: -10.15. Game 3: 18.65. Game 4: 25.90. Game 5: 45.75. Based on the average profit per game, how much total money can the club expect to earn by the end of the 10-game season?

Answer 1

To calculate the average profit per game and the total expected profit for the 10-game season, we can follow these steps:

1. Calculate the total profit for the first five games: \[ \text{Total Profit} = -12.50 + (-10.15) + 18.65 + 25.90 + 45.75 \]

   Breaking it down: \[ -12.50 - 10.15 = -22.65 \] \[ -22.65 + 18.65 = -4.00 \] \[ -4.00 + 25.90 = 21.90 \] \[ 21.90 + 45.75 = 67.65 \]

   So, the total profit for the first five games is 67.65 dollars.

2. Calculate the average profit per game: \[ \text{Average Profit} = \frac{\text{Total Profit}}{\text{Number of Games}} = \frac{67.65}{5} = 13.53 \]

3. Calculate the expected total profit for the entire 10-game season: \[ \text{Total Expected Profit} = \text{Average Profit} \times \text{Total Games} = 13.53 \times 10 = 135.30 \]

Therefore, by the end of the 10-game season, the club can expect to earn a total of 135.30 dollars.