Question

A marina is in the shape of a coordinate grid. Boat A is docked at (3.1, −1) and Boat B is docked at (−4.1, −1). The boats are ____ units apart.
A: 5.1
B: 7.2
C: 8.1
D: 8.2

Answer 1

B...................

Answer 2

Answer:

B: 7.2

Step be step explanation:

We are told that a marina is in the shape of a coordinate grid. Boat A is docked at (3.1, −1) and Boat B is docked at (−4.1, −1).

To find difference of units between two boats we will use distance formula.

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

Upon substituting our given values in distance formula we will get,

$D=\sqrt{(3.1--4.1)^{2}+(-1--1)^{2}}$

$D=\sqrt{(3.1+4.1)^{2}+(-1+1)^{2}}$

$D=\sqrt{(7.2)^{2}+(0)^{2}}$

$D=\sqrt{(7.2)^{2}}$

$D=7.2$

Therefore, the boats are 7.2 units apart and option B is the correct choice.