Question

Question

Use the image to answer the question.

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.

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 8 miles.
The distance from your house to the bank and then the farmer’s market is 8 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 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 greater than 5 miles.
The distance from your house to the bank and then the farmer’s market is greater than 5 miles.
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Answer 1

Based on the provided information, we know there is an inverted triangle where one side (from the house to the farmer's market) measures 5 miles. Since you need to stop at the bank before going to the farmer’s market, we can conclude that the distance from your house to the bank, plus the distance from the bank to the farmer's market, cannot be less than the distance from your house directly to the farmer's market, which is 5 miles.

Thus, the only valid statements are that the distance from your house to the bank and then to the farmer's market must either equal 5 miles or be greater than 5 miles. The correct statement based on your options would be:

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