Question

The plans for a new ammusement park were laid out on the first quadrant of a coordinate plane. The entrance to the roller coaster was shown at (1, 1), and the entrance to the bumper cars was shown at (7,9).

Answer 1

The first step is to determine the distance between the points, (1,1) and (7,9)

We would find this distance by applying the formula shown below

$\begin{gathered} \text{Distance = }\sqrt[]{(x2-x1)^2+(y2-y1)^2} \\ \text{From the graph, } \\ x1\text{ = 1, y1 = 1} \\ x2\text{ = 7, y2 = 9} \\ \text{Distance = }\sqrt[]{(7-1)^2+(9-1)^2} \\ \text{Distance = }\sqrt[]{6^2+8^2}\text{ = }\sqrt[]{100} \\ \text{Distance = 10} \end{gathered}$

Distance = 10 units

If one unit is 70 meters, then the distance between both entrances is

70 * 10 = 700 meters