Question

The math teacher gives each student a map of the amusement park that use a coordinate plane the meeting locates is at(0,0) on the map each unit is 100 ft the first ride that you want to try is located at the coordinates (0,4) the next one is located at (3,0) if you walk in a straight line from the first ride to the second ride how many feet would you travel​
A.300 feet
B.400feet
C.500feet
D.700feet

Answer 1

Given:

Starting point = (0,0)

First ride = (0,4)

Second ride = (3,0)

In map, each unit = 100 ft

To find:

The actual distance between first and second ride.

Solution:

Distance formula: Distance between two points is

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

Using the distance formula, we get the distance between first ride and second ride in the map is

$d=\sqrt{(3-0)^2+(0-4)^2}$

$d=\sqrt{9+16}$

$d=\sqrt{25}$

$d=5$

So, the distance between first ride and second ride in the map is 5 units.

We have,

1 units  = 100 ft

5 units = 500 ft

The actual distance between first and second ride is 500 ft.

Therefore, the correct option is C.