High School

Jim is using a grid to draw a scale map of a park. Point F represents the location of a drinking fountain, and Point B represents the location of a bench.

- Point F has the coordinates (-6, 1).
- Point B has the coordinates (2, 4).

Each unit on the grid represents 5 feet. About how far, in feet, is the drinking fountain from the bench?

A. 8.5 feet
B. 37.1 feet
C. 33.5 feet
D. 42.7 feet

Answer :

Final answer:

To find the distance between the drinking fountain and the bench, we can use the distance formula. The distance is approximately 8.5 feet.

Explanation:

To find the distance between the drinking fountain and the bench, we need to use the distance formula.

The distance formula is: d = sqrt((x2 - x1)²2 + (y2 - y1)²2)

Using the coordinates given, the distance between the drinking fountain (-6, 1) and the bench (2, 4) is:

d = sqrt((2 - -6)²2 + (4 - 1)²2) = sqrt(8²2 + 3²2) = sqrt(64 + 9) = sqrt(73)

Since each unit on the grid represents 5 feet, the distance in feet is:

sqrt(73) * 5 = 8.54 feet (approximately)

Therefore, the answer is A. 8.5 feet.

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