Question

You and your friends want to do a time capsule to remember the year 2020. You all plan on opening it in 2030, so you need to place it at a specific location. You decide to bury it halfway between the base of an oak tree and the corner of a swing set. The oak tree is located at (100, 25), and the boulder is at (50, 175). At what coordinate should the time capsule be placed?

(A) (75, 100)
(B) (125, 100)
(C) (75, 75)
(D) (125, 75)

Answer 1

The time capsule should be placed at the coordinate (75, 100) to be halfway between the base of the oak tree and the corner of the swing set.

Step-by-step explanation:

To find the coordinate where the time capsule should be placed, we need to find the midpoint of the base of the oak tree and the corner of the swing set. The x-coordinate of the midpoint is the average of the x-coordinates of the oak tree and the swing set, which is (100 + 50) / 2 = 75. The y-coordinate of the midpoint is the average of the y-coordinates of the oak tree and the swing set, which is (25 + 175) / 2 = 100.

Therefore, the coordinate where the time capsule should be placed is (75, 100). So, the correct answer is (A) (75, 100).