Final answer:
Marlon wants to increase his beard sales earnings from last month which were $350. The correct inequality to represent his goal for increasing sales is 20B + 25R > 350, denoting B as the number of black beards and R as the number of red beards. Therefore, the answer is option a) 20B + 25R > 350.
Step-by-step explanation:
Marlon wants to make more money selling fake beards than he did last month. To represent this situation mathematically, we need to create an inequality that will ensure Marlon's earnings this month are greater than last month's earnings. Given that all black beards cost the same and each red beard costs $25, we denote the number of black beards sold by B and the number of red beards sold by R.
Assuming last month Marlon made $350, the inequality to represent Marlon's goal to earn more money this month would be based on the combined sales of black and red beards. Since we do not know the specific price for black beards, we cannot finalize the inequality with the exact number for black beard sales; however, we can suggest a generic inequality such as 20B + 25R > 350 where 20 could represent the price of each black beard, and Marlon would need to exceed $350 in sales. This ensures that this month's total earnings from B black beards and R red beards exceed the earnings from the previous month which is represented by option a).
Therefore, the correct option that represents the situation where Marlon makes more money selling fake beards this month than last month is: a) 20B + 25R > 350. He needs to ensure that the sales from the black beards and the red beards combined are greater than $350.