Question

problem 5
there are two different maps of california.

• the scale on the first map is 1 cm to 20 km. the distance from fresno to san francisco is 15 cm.
• the scale on the second map is 1 cm to 100 km.

what is the distance from fresno to san francisco on the second map?
type your answer in the box. centimeters

Explanation:

Step1: Calculate actual distance

First, find the actual distance between Fresno and San Francisco using the first - map scale. Since the scale of the first map is 1 cm to 20 km and the distance on the first map is 15 cm, the actual distance $d$ is $d = 15\times20=300$ km.

Step2: Calculate distance on second map

Then, use the scale of the second map (1 cm to 100 km) to find the distance $x$ on the second map. We know that $\frac{x}{300}=\frac{1}{100}$, so $x=\frac{300}{100}=3$ cm.

Answer:

3