A sandwich shop makes home deliveries. The average amount of time from when an order is placed until when 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.
Responses
On average, the delivery person travels 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 2.5 minutes.
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, it takes the delivery person 2.5 minutes to travel 1 mile.
The correct statements are:
- 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.
These can be determined from the equation y=2.5x+5, which shows that the rate of delivery time (y) increases by 2.5 minutes for every mile (x) of distance, and that there is a constant term of 5 minutes (presumably for preparation and other factors). Therefore, option 1, 2, and 3 are incorrect, since they do not reflect the given equation. Option 4 is the inverse of option 1, and therefore also incorrect. Option 5 is close, but it reverses the roles of distance and time, so it is also incorrect. Option 6 is equivalent to option 5, but also incorrect.