Question

Bryce is looking at a map of a theme park. The map is laid out in a coordinate system. Bryce is at (2, 3). The roller coaster is at (7, 8), and the water ride is at (9, 1). Is Bryce closer to the roller coaster or the water ride?

Answer 1

Answer:

Bryce is closer to the roller coaster as compared to the water ride.

Step-by-step explanation:

Given :

Bryce is at point (2,3)

Roller coaster is at point (7,8)

Water ride is at point (9,1)

To find whether Bryce is closer to roller coaster or the water ride.

Solution.

In order to determine the closeness of Bryce from either of the two rides, we will need to find the distance of Bryce from each of them. We can apply distance formula in order to do so.

By distance formula to find distance between two points $(x_1,y_1)$ and $(x_2,y_2)$.

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

Distance between Bryce (2,3) and roller coaster (7,8) can be given as:

$d_1=\sqrt{(7-2)^2+(8-3)^2}$

$d_1=\sqrt{(5)^2+(5)^2}$

$d_1=\sqrt{25+25}$

$d_1=\sqrt{50}$

$d_1=7.07$ units

Distance between Bryce (2,3) and water ride (9,1) can be given as:

$d_2=\sqrt{(9-2)^2+(1-3)^2}$

$d_2=\sqrt{(7)^2+(-2)^2}$

$d_2=\sqrt{49+4}$

$d_2=\sqrt{53}$

$d_2=7.28$ units

Thus, we can see that Bryce is closer to the roller coaster as compared to the water ride.