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 = 2.5 + 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)
A. On average, the delivery person travels 5 miles every 1 minute.
B. On average, the delivery person travels 2.5 miles every 1 minute.
C. On average, it takes the delivery person 5 minutes to travel 1 mile.
D. The average amount of time the shop needs to prepare the food for delivery is 5 minutes.
E. On average, it takes the delivery person 2.5 minutes to travel 1 mile.
F. The average amount of time the shop needs to prepare the food for delivery is 2.5 minutes.
It appears there might be a typo in the equation provided for the average delivery time, as it's currently stated as `y = 2.5 + 5`. However, based on the context, I'll assume the correct equation should be `y = 2.5x + 5`, where `x` is the number of miles and `y` is the time in minutes. Now, let's evaluate the statements:
A. On average, the delivery person travels 5 miles every 1 minute.
- This statement is incorrect because the equation suggests that time increases with the number of miles, and there's no information stating that the delivery person travels 5 miles every minute.
B. On average, the delivery person travels 2.5 miles every 1 minute.
- This statement is also incorrect because the coefficient 2.5 in the equation represents the number of minutes it takes to travel one mile, not the other way around.
C. On average, it takes the delivery person 5 minutes to travel 1 mile.
- This statement is incorrect because the coefficient 2.5 in the equation represents the number of minutes per mile, not 5 minutes.
D. The average amount of time the shop needs to prepare the food for delivery is 5 minutes.
- This statement is correct. The constant `5` in the equation can be interpreted as the fixed amount of time needed to prepare the food for delivery — that is, the base time which does not change with distance.
E. On average, it takes the delivery person 2.5 minutes to travel 1 mile.
- This statement is correct because the coefficient 2.5 in the equation is the variable part of the delivery time that accounts for the distance traveled. For every additional mile, it takes an additional 2.5 minutes on average.
F. The average amount of time the shop needs to prepare the food for delivery is 2.5 minutes.
- This statement is incorrect because, as mentioned, the number 5 in the equation is the base time for preparation, not 2.5.
Therefore, the correct statements according to the assumed model `y = 2.5x + 5` are:
D. The average amount of time the shop needs to prepare the food for delivery is 5 minutes.
E. On average, it takes the delivery person 2.5 minutes to travel 1 mile.