Question

(b) if each unit on the grid represents 1 mile, about how many miles is the library from the school?
(a) 18
(b) 4
(c) 12
(d) 6

Explanation:

Step1: Identify coordinates

Assume point A (school) has coordinates $(- 4,-6)$ and point B (library) has coordinates $(5,2)$.

Step2: Apply distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Here, $x_1=-4,y_1 = - 6,x_2=5,y_2 = 2$. Then $x_2 - x_1=5-(-4)=9$ and $y_2 - y_1=2-(-6)=8$.

Step3: Calculate distance

$d=\sqrt{9^2 + 8^2}=\sqrt{81+64}=\sqrt{145}\approx12$.

Answer:

C. 12