Lets say that the variable “x” represents the number of weeks Reiko has spent working.
Each week, she earns $900, but we must subtract the $550 per week she spends on general expenses, and the initial $5200 she spent to obtain her merchandise. This can all be represented with the formula:
900x-550x-5200. This is her total spending per week. We want this to be greater than zero, because that is when she will make a profit. So,
900x-550x-5200 > 0
350x-5200>0
350x>5200
Then divide each side by 350:
x>14.86
Rounding to 15, the minimum number of weeks it will take for Reiko to make a profit is 15, option A.