Question

on the way home from school, carmen stopped at a place located at the mid - point between school and home. where did she stop? a store b gym c park d bank

Explanation:

Step1: Find coordinates of school and home

School is at $(4,3)$ and home is at $(7,2)$.

Step2: Use mid - point formula

The mid - point formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$. Here $x_1=4,y_1 = 3,x_2=7,y_2=2$. So, $x=\frac{4 + 7}{2}=\frac{11}{2}=5.5$ and $y=\frac{3+2}{2}=2.5$.

Step3: Identify the location

The point closest to $(5.5,2.5)$ on the grid is the Gym.

Answer:

B. Gym