Final answer:
To find Rowan's profit for month 3, we calculate the difference between the total loss after three months (-$300) and the total loss after two months (-$414), resulting in a profit of $114 for the third month.
Step-by-step explanation:
The student is asking how to calculate the profit for the third month of a new business, given the average profit for the first two months and the overall profit for the first three months. To find Rowan's profit for the third month, we use the formula for average profit and apply it to the given numbers.
The average profit for the first two months is -$207. This means that the total loss for the first two months is 2 x (-$207) = -$414. The total loss for the first three months is given as -$300. The profit for the third month is then found by subtracting the total loss for two months from the total loss for three months:
Profit for Month 3 = Total Profit (Months 1-3) - Total Profit (Months 1-2)
Profit for Month 3 = (-$300) - (-$414)
Profit for Month 3 = +$114
Therefore, Rowan's profit for the third month was $114.