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A sandwich shop makes home deliveries. The average amount of time from when an order is placed until it is delivered can be modeled by the equation y=2.5x+5

, where x is the number of miles between the shop and the delivery location and y is the time in minutes. Which of these statements are correct according to the model? Select TWO that apply.(2 points)
Responses

On average, the delivery person travels 2.5 miles every 1 minute.
On average, the delivery person travels 2.5 miles every 1 minute.

The average amount of time the shop needs to prepare the food for delivery is 2.5 minutes.
The average amount of time the shop needs to prepare the food for delivery is 2.5 minutes.

On average, it takes the delivery person 2.5 minutes to travel 1 mile.
On average, it takes the delivery person 2.5 minutes to travel 1 mile.

On average, it takes the delivery person 5 minutes to travel 1 mile.
On average, it takes the delivery person 5 minutes to travel 1 mile.

The average amount of time the shop needs to prepare the food for delivery is 5 minutes.
The average amount of time the shop needs to prepare the food for delivery is 5 minutes.

On average, the delivery person travels 5 miles every 1 minute.

1 answer

To analyze the equation \( y = 2.5x + 5 \):

  • \( x \) represents the number of miles between the shop and the delivery location.
  • \( y \) represents the time in minutes from when the order is placed until it is delivered.

From the equation, we can deduce:

  1. The term \( 2.5x \) indicates that for each mile traveled, the delivery person takes 2.5 minutes.
  2. The \( 5 \) minutes is a constant that represents the average time it takes for the shop to prepare the food before it is sent for delivery.

With this understanding, the correct statements according to the model are:

  1. On average, it takes the delivery person 2.5 minutes to travel 1 mile. (This corresponds to the coefficient of \( x \) in the equation.)

  2. The average amount of time the shop needs to prepare the food for delivery is 5 minutes. (This corresponds to the constant term in the equation.)

These are the two correct responses.