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Math  /  Data & Statistics

QuestionThe 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. \begin{tabular}{|c|c|} \hline Game & Profit (\$) \\ \hline 1 & -12.50 \\ \hline 2 & -10.15 \\ \hline 3 & 18.65 \\ \hline 4 & 25.90 \\ \hline 5 & 45.75 \\ \hline \end{tabular}
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?

Studdy Solution

STEP 1

1. The profits for the first five games are: −12.50,−10.15,18.65,25.90,45.75-12.50, -10.15, 18.65, 25.90, 45.75.
2. The average profit per game is calculated as the total profit divided by the number of games.
3. The club expects to maintain the same average profit for the remaining games.

STEP 2

1. Calculate the total profit for the first five games.
2. Calculate the average profit per game.
3. Estimate the total profit for a 10-game season based on the average profit.

STEP 3

Calculate the total profit for the first five games:
−12.50+(−10.15)+18.65+25.90+45.75-12.50 + (-10.15) + 18.65 + 25.90 + 45.75
=−12.50−10.15+18.65+25.90+45.75= -12.50 - 10.15 + 18.65 + 25.90 + 45.75
=67.65= 67.65

STEP 4

Calculate the average profit per game:
Average Profit=67.655\text{Average Profit} = \frac{67.65}{5}
=13.53= 13.53

STEP 5

Estimate the total profit for a 10-game season:
Total Expected Profit=10×13.53\text{Total Expected Profit} = 10 \times 13.53
=135.30= 135.30
The club can expect to earn a total of:
135.30 \boxed{135.30}

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