A street is 2 miles

B street is 1.5 miles
C street is ??? miles

Which statement is true about the distance from James' house to Sarah's house taking street C?

(1 point)
Responses

The distance would be (2+1.5)2
The distance would be open paren 2 plus 1 point 5 close paren squared

The distance would be longer than going across A street to B street to get to Sarah's house.
The distance would be longer than going across A street to B street to get to Sarah's house.

The distance would be shorter than going across A street to B street to get to Sarah's house
The distance would be shorter than going across A street to B street to get to Sarah's house

The distance would be 22+1.52

1 answer

To understand the distance James would travel from his house to Sarah's house when taking street C, let's analyze the provided statements.

  1. "The distance would be (2+1.5)²" - This statement incorrectly suggests that the distance can be calculated by squaring the sum of the distances of A street and B street. This is not typically how distance is calculated in a simple linear context.

  2. "The distance would be longer than going across A street to B street to get to Sarah's house." - For this statement to be true, street C would need to be longer than the combined distance of A and B (2 + 1.5 = 3.5 miles). This statement could possibly be true depending on the length of street C.

  3. "The distance would be shorter than going across A street to B street to get to Sarah's house." - For this statement to be true, street C would need to be shorter than 3.5 miles. This statement could also possibly be true depending on the length of street C.

  4. "The distance would be 2² + 1.5²" - This statement incorrectly uses the Pythagorean theorem as a way to combine A street and B street. Distance between two points does not require squaring the individual distances unless they are perpendicular, and that seems unlikely here.

Without knowing the length of street C, we cannot definitively choose between statements 2 and 3.

In conclusion, without additional information about the distance for street C, we cannot say which statement is true definitively. If street C is less than 1.5 miles, then statement 3 would be true; if it's longer than 1.5 miles but less than 3.5 miles, then statements can be ambiguous. If street C is greater than 3.5 miles, then statement 2 would be true.

Please provide more information regarding street C's length to determine which statement is accurate.