Final answer:
To determine the actual distance between Madison and Milwaukee using the map scale of 0.4 inches to 28 miles, set up a proportion with the map distance of 2.1 inches. Solve the proportion to find that the actual distance is 147 miles.
Step-by-step explanation:
The question relates to the topic of scale drawings and proportions, which we see often in cartography and mathematics. The scale given is 0.4 inches for every 28 miles. To find the actual distance between Madison and Milwaukee, we set up a proportion with the scale and the map distance of 2.1 inches.
To solve this, use the proportion:
0.4 inches/28 miles = 2.1 inches/X miles
Where X is the actual distance between the two towns. Cross-multiplying, we have:
0.4 * X = 2.1 * 28
X = (2.1 * 28) / 0.4
X = 147
Therefore, the actual distance between Madison and Milwaukee is 147 miles, which corresponds to option B.