Question

the distance between the hotel and the fine arts museum is 0.9 inches. the distance between the fine arts museum and the sculpture garden is 1.1 inches. on the map scale, 1 in. represents 3 km. enter the scale. map 1 in. city 3 km enter the actual distance, m, from the hotel to the museum. kilometers enter the actual distance, g, from the museum to the garden. kilometers i want to do this optional task to determine the actual distance, m. write a proportion using the variable m. then solve for m using means and extremes. map in. city km = map in. city km i want to do this optional task to determine the actual distance, g. write a proportion using the variable g. then solve for g using means and extremes. map in. city km = map in. city km

Explanation:

Step1: Set up the proportion

The map - scale is 1 in. represents 3 km. Let the actual distance be $m$ km and the map - distance be 0.9 in. The proportion is $\frac{1}{3}=\frac{0.9}{m}$.

Step2: Cross - multiply

Cross - multiplying gives us $1\times m = 3\times0.9$.

Step3: Solve for $m$

$m=3\times0.9 = 2.7$ km.

Answer:

The actual distance between the hotel and the fine arts museum is 2.7 km.