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, it takes the delivery person 5 minutes to travel 1 mile. On average, it takes the delivery person 5 minutes to travel 1 mile. 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 5 minutes. 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 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, the delivery person travels 5 miles every 1 minute.

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

• \( x \) is the number of miles,
• \( y \) is the total time in minutes,

we can derive the following insights:

1. The equation suggests that there is a constant time of 5 minutes before travel begins (time to prepare the food).
2. The term \( 2.5x \) implies it takes 2.5 minutes for every mile traveled.

Given this model, we can evaluate the statements:

1. On average, it takes the delivery person 5 minutes to travel 1 mile. - Incorrect: It actually takes 2.5 minutes per mile.
2. On average, the delivery person travels 2.5 miles every 1 minute. - Incorrect: The delivery person travels 1 mile in 2.5 minutes, not the other way around.
3. The average amount of time the shop needs to prepare the food for delivery is 5 minutes. - Correct: This is the constant term in the equation.
4. The average amount of time the shop needs to prepare the food for delivery is 2.5 minutes. - Incorrect: As above, the preparation time is 5 minutes.
5. On average, it takes the delivery person 2.5 minutes to travel 1 mile. - Correct: This comes directly from the coefficient of \( x \).
6. On average, the delivery person travels 5 miles every 1 minute. - Incorrect: This is the opposite of what the equation indicates.

Therefore, the two correct statements according to the model are:

• The average amount of time the shop needs to prepare the food for delivery is 5 minutes.
• On average, it takes the delivery person 2.5 minutes to travel 1 mile.