Question

A pizza delivery worker purchased a used motor scooter that had been driven 12{,}10012,100 miles. He drives the motor scooter only on days he is working, during which he drives an average of 5050 miles per day. After dd days of pizza delivery, the motor scooter has been driven a total of 25{,}00025,000 miles. Which of the following equations best models this situation?

Answer 1

`25,000=50d+12,100`

Explanation:

Let d represent the number of pizza delivery days.

We have been given that a pizza delivery worker drives the motor scooter only on days he is working, during which he drives an average of 50 miles per day. So the number of miles driven in d days will be 50d.

As the delivery worker purchased a used motor scooter that had been driven 12,100 miles. This means that initial value or y-intercept will be 12,100.

`\text{Total number of miles the scooter has been driven}=\text{Miles driven in d days+Initial value}`

Upon substituting our given values we will get,

`25,000=50d+12,100`

Therefore, the equation
`25,000=50d+12,100` models the total number of miles driven in d days of pizza delivery.