An inverted triangle shows the upper left vertex labeled as house, with a side marked 5 miles leading to the lower right vertex labeled as farmer's market. The third vertex at the bottom is labeled bank.

Question

The diagram shows the distance between your house, the bank, and the farmer’s market. You need to stop at the bank before going to the farmer’s market. Given the information in the diagram, identify which statement is true.

(1 point)
Responses

The distance from your house to the bank and then the farmer’s market is less than 5 miles.
The distance from your house to the bank and then the farmer’s market is less than 5 miles.

The distance from your house to the bank and then the farmer’s market is equal to 5 miles.
The distance from your house to the bank and then the farmer’s market is equal to 5 miles.

The distance from your house to the bank and then the farmer’s market is greater than 5 miles.
The distance from your house to the bank and then the farmer’s market is greater than 5 miles.

The distance from your house to the bank and then the farmer’s market is 8 miles.

Answer 1

To determine the correct statement regarding the distances from the house to the bank and then to the farmer's market, we can analyze the information provided in the diagram.

1. Starting from your house (vertex labeled "house"), you have a direct distance to the farmer's market, which is labeled as 5 miles.
2. There are three points: your house, the bank, and the farmer's market. Since you need to stop at the bank before going to the farmer's market, the total distance would be the distance from your house to the bank plus the distance from the bank to the farmer's market.

Since the distance directly from the house to the farmer's market is 5 miles, and because you're adding at least one more segment (the distance to the bank), the total distance would naturally be greater than 5 miles.

Therefore, the correct statement is:

The distance from your house to the bank and then the farmer’s market is greater than 5 miles.