Question

4. A map of an amusement park is shown on a coordinate plane, where each square

Answer 1

Using cartesian coordinates concepts such as midpoint and distance between two points, it is found that:

• The location point of the Ferris wheel is (15,24).
• They need to walk 20 units.
• The coordinates of the hotdog stand are (23,8).

• Water ride is at point (3,8).
• Roller coaster is at point (27,40).
• The Ferris wheel is at the midpoint of the water ride and the roller coaster, thus it's coordinates are the mean of their coordinates.

$x = \frac{3 + 27}{2} = 15$

$y = \frac{8 + 40}{2} = 24$

The location point of the Ferris wheel is (15,24).

The distance between two points, $(x_1,y_1)$ and $(x_2,y_2)$ is given by:

$D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Here, Tiffany and her sister are at (15,24) while their parents are at (3,8). Thus, their distance is:

$D = \sqrt{(15 - 3)^2 + (24 - 8)^2} = 20$

They need to walk 20 units.

• Hotdog stand is directly east of the water ride, thus, it has the same y-coordinate, while the x-coordinate is increased.
• The distance is of 20 units, thus:

$(3 + 20, 8) = (23,8)$

The coordinates of the hotdog stand are (23,8).

A similar problem is given at brainly.com/question/24352869