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:
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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 \( 2.5 \cdot 1 = 2.5 \)).
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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:
- 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.