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.

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

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, 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.
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 2.5 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 5 minutes.

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
3 hours ago

To analyze the equation \( y = 2.5x + 5 \), where \( x \) is the distance in miles and \( y \) is the time in minutes, let's break it down:

  1. Interpretation of \( 2.5x \): The term \( 2.5x \) represents the time taken to travel \( x \) miles. Thus, if the delivery person travels 1 mile, it would take them 2.5 minutes (since \( 2.5 \cdot 1 = 2.5 \)).

  2. Interpretation of the constant \( 5 \): The constant \( 5 \) represents the average time it takes for the shop to prepare the food before it is delivered. This means that there is an additional 5 minutes for preparation regardless of the distance.

From the analysis, we can conclude:

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

This can be summarized as the correct answers to select:

  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.