Question

A pizza delivery worker purchased a used motor scooter that had been driven 12100 miles. He drives the motor scooter only on days he is working, during which he drives an average of 50 miles per day. After d days of pizza delivery, the motor scooter has been driven a total of 25000 miles. Which of the following equations best models this situation?

• A. 50 (12100 + d) = 25000
• B. (12100 + d) 50 = 25000
• C. 12100d + 50 = 25000
• D. 12100 + 50d = 25000

Answer 1

The correct option is D 12100 + 50d = 25000

The scooter has already been driven 12100 miles.

So, we know we have to add some extra miles to 12100 miles to get a total of 25000 miles

Therefore, option A and C can be eliminated.

Now, we know that the worker drives at an average of 50 miles per day for d days.

Thus total distance covered in d days = 50d

Therefore, the overall equation boils down to 12100+50d = 25000

Hence, option D is Correct.