Question

Miya is picking up two friends to go the beach. She drives from her house to

pick up Drea, then she drives to pick up Francine, and then they go to the
beach to play volleyball. What is the total distance of the trip?
The grid below shows the coordinates of their houses on a map. All distances
are in miles.

Answer 1

Option (C)

Explanation:

Coordinates of the point representing the location of Miya → (1, 10)

Coordinates of the point representing the location of Drea → (13, 1)

Coordinates of the point representing the location of Francine → (16, 1)

Coordinates of the point representing the location of Beach → (19, 4)

Distance between Miya and Drea =
`√((x_2-x_1)^2+(y_2-y_1)^2)`

=
`√((13-1)^2+(1-10)^2)`

=
`√(144+81)`

= 15 miles

Distance between Drea and Francine =
`√((16-13)^2+(1-1)^2)`

= 3 miles

Distance between Francine and Beach =
`√((19-16)^2+(4-1)^2)`

=
`√(9+9)`

≈ 4.2 miles

Total distance between Miya and the beach = 15 + 3 + 4.2

= 22.2 miles

Option (C) is the answer.