Question

a student builds a model of a town. the models scale is 1:48. fill in the missing information in the table. distance between... in real life in model school and library 18.0 m 0.375 m grocery store and city hall select... 2.6 m post office and park 9.6 m 0.2 m check your understanding - question 2 of 2 attempt 1 of 2

Explanation:

Step1: Recall scale formula

The scale is 1:48, which means the ratio of model - distance to real - life distance is $\frac{1}{48}$. Let the real - life distance be $d_{r}$ and the model distance be $d_{m}$, then $\frac{d_{m}}{d_{r}}=\frac{1}{48}$, or $d_{m}=\frac{d_{r}}{48}$.

Step2: Calculate model distance for post - office and park

Given $d_{r}=9.6$ m. Then $d_{m}=\frac{9.6}{48}=0.2$ m.

Step3: Calculate real - life distance for grocery store and city hall

Let the model distance $d_{m} = 2.6$ m. Then $d_{r}=2.6\times48 = 124.8$ m.

Step4: Calculate model distance for school and library

Given $d_{r}=18.0$ m. Then $d_{m}=\frac{18.0}{48}=0.375$ m.

Answer:

Post office and park in model: 0.2 m
Grocery store and city hall in real life: 124.8 m
School and library in model: 0.375 m