Question

coordinate plane below represents a large city. a windmill is located at $(-30, 25)$. a water tower is located at $(-15, 25)$.
(a) plot points to show the locations of the windmill and the water tower.
(b) write an expression that gives the distance between $(-30, 25)$ and $(-15, 25)$. first choose the correct form, then fill in the blanks choosing only from the numbers $-15$, $25$, and $-30$.
options: $\bigcirc |square| + |square|$; $\bigcirc |square| - |square|$
(c) on the graph, 1 unit represents 1 kilometer. use the answer from part (b) to find the distance between the windmill and the water tower.
$square$ kilometers

Explanation:

Step1: Plot points on coordinate grid

Locate $x=-30, y=25$ and $x=-15, y=25$ on the grid, mark each point.

Step2: Select distance formula for horizontal points

Since $y$-values are equal, use $\vert x_2 - x_1 \vert$. Substitute $x_2=-15, x_1=-30$: $\vert -15 - (-30) \vert$

Step3: Calculate the distance

Simplify the expression: $\vert -15 + 30 \vert = \vert 15 \vert = 15$. Since 1 unit = 1 km, distance is 15 km.

Answer:

1. (Plot: Windmill at (-30, 25), Water tower at (-15, 25) on the grid)
2. $\vert -15 - (-30) \vert$
3. 15 kilometers