Question
Freddie and EJ are hiking by themselves in Hillsborough River State Park. Freddie is located at (2, -10) and EJ is located at (-5, -10). If
each unit is equivalent to 2 miles, how many miles apart are they?(1 point)
Responses
7 miles
7 miles
3 miles
3 miles
6 miles
6 miles
14 miles
each unit is equivalent to 2 miles, how many miles apart are they?(1 point)
Responses
7 miles
7 miles
3 miles
3 miles
6 miles
6 miles
14 miles
Answers
GPT-4o mini
To find out how far apart Freddie and EJ are, we can calculate the distance between their coordinates in the Cartesian plane.
Freddie's coordinates are (2, -10) and EJ's coordinates are (-5, -10). Since both points have the same y-coordinate (-10), we can use the distance formula for horizontal distance:
\[
\text{Distance} = |x_1 - x_2|
\]
where \(x_1 = 2\) and \(x_2 = -5\).
Calculating this gives:
\[
\text{Distance} = |2 - (-5)| = |2 + 5| = |7| = 7
\]
Now, since each unit is equivalent to 2 miles, we need to multiply the distance in units by 2 to convert it into miles:
\[
\text{Distance in miles} = 7 \times 2 = 14 \text{ miles}
\]
Thus, Freddie and EJ are 14 miles apart.
The correct answer is:
**14 miles**
Freddie's coordinates are (2, -10) and EJ's coordinates are (-5, -10). Since both points have the same y-coordinate (-10), we can use the distance formula for horizontal distance:
\[
\text{Distance} = |x_1 - x_2|
\]
where \(x_1 = 2\) and \(x_2 = -5\).
Calculating this gives:
\[
\text{Distance} = |2 - (-5)| = |2 + 5| = |7| = 7
\]
Now, since each unit is equivalent to 2 miles, we need to multiply the distance in units by 2 to convert it into miles:
\[
\text{Distance in miles} = 7 \times 2 = 14 \text{ miles}
\]
Thus, Freddie and EJ are 14 miles apart.
The correct answer is:
**14 miles**