Question

3. A playground designer wanted to place a fountain so that it was close to both the slide and the swings.

Refer to the coordinate grid shown. Each unit on the grid represents 5 ft.


(a) Find the distance from the fountain to the slide. Show your work.
(b) Find the distance from the fountain to the swings. Show your work.

Answer 1

Part A:

10ft

Part B:

35ft

Explanation:

• Since we know that an increase of 1 on either the x, or y value is equal to 5 feet, we can form an equation where x = the amount that the value increased, so since the fountain is at (-2, -2) and the slide is at (-2, 0), we see that there is an increase of 2 to the y-value, meaning our equation should now be 5(2) which equals 10.

• Because we use 5x and 5y to solve this, we can already see how to do this. If the swings are at (5, -2) and the fountain is at (-2, -2), we can see that there was an increase of 7 on the x-value, meaning that our equation would now be 5(7), which equals 35.