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.
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.
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.
On average, it takes the delivery person 5 minutes to travel 1 mile.
I apologize for the confusion in my previous response. Upon reviewing the equation y=2.5x+5, the correct statements according to the model are:
1. On average, it takes the delivery person 2.5 minutes to travel 1 mile.
2. The average amount of time the shop needs to prepare the food for delivery is 5 minutes.
The correct statements according to the model are:
1. On average, it takes the delivery person 2.5 minutes to travel 1 mile.
2. The average amount of time the shop needs to prepare the food for delivery is 5 minutes.
are you sure?
To determine which statements are correct according to the model, we can analyze the equation y=2.5x+5.
1. The average amount of time the shop needs to prepare the food for delivery is 5 minutes.
This statement is not supported by the model. The equation only represents the time taken for the delivery person to travel a certain distance, not the time taken by the shop to prepare the food.
2. On average, it takes the delivery person 2.5 minutes to travel 1 mile.
This statement is correct according to the model. The coefficient of x in the equation is 2.5, which means for each mile traveled (each unit increase in x), the time taken (y) increases by 2.5 minutes.
3. On average, the delivery person travels 2.5 miles every 1 minute.
This statement is not supported by the model. The coefficient of x in the equation represents the time taken per mile, not the number of miles traveled per minute.
4. The average amount of time the shop needs to prepare the food for delivery is 2.5 minutes.
This statement is not supported by the model. The equation only represents the time taken for the delivery person to travel a certain distance, not the time taken by the shop to prepare the food.
5. On average, it takes the delivery person 5 minutes to travel 1 mile.
This statement is also not supported by the model. The coefficient of x in the equation is 2.5, indicating that it takes 2.5 minutes to travel 1 mile, not 5 minutes.
Therefore, the two correct statements are:
- On average, it takes the delivery person 2.5 minutes to travel 1 mile.
- The average amount of time the shop needs to prepare the food for delivery is 5 minutes.