Final answer:
Rachelle's profit for selling 15 lamps is given by the equation p = (52 - 35) n. By subtracting the cost from the selling price, we find the unit profit is $17, and thus for 15 lamps, the profit is $255.
Step-by-step explanation:
To calculate the profit Rachelle will make from selling 15 lamps, we use the given profit equation p = (52 - 35) n. First, we must determine the profit made from selling a single lamp by subtracting the cost from the selling price, which gives us 52 - 35 = 17. Then we multiply this unit profit by the number of lamps sold, n = 15. Thus, the profit for 15 lamps is 17 * 15 = 255.
Rachelle's profit for selling 15 lamps is therefore $255.