Final answer:
Each carwash was charged at $5 and they need to wash 30 more cars.
Step-by-step explanation:
To find out the amount charged for each carwash, we need to divide the total earnings by the number of cars washed. The Mathletes Club earned $240 washing 48 cars, so each carwash was charged at $240/48 = $5.
To determine how many more cars they need to wash to reach their goal of earning $400, we first subtract the amount they have already earned ($240) from the goal amount ($400). This gives us $400 - $240 = $160. Then, we divide this remaining amount by the cost of each carwash ($5) to find out the number of cars they need to wash: $160/$5 = 32 cars.
Therefore, the correct answer is option a) Each carwash was charged at $5, and they need to wash 30 more cars.