Answer :
Final answer:
Using the given ratio of 1/4 inch equals 16 miles, we find that two towns 2(3)/(4) inches apart on a map would be 176 actual miles apart.
Explanation:
The subject of this question falls under the category of Mathematics, specifically, it's related to ratios in the context of a question about distances on a map. In this case, the student is asked to understand the relationship or ratio between (1)/(4) inch representing 16 actual miles on the map. To find out how many actual miles two towns are apart that are 2(3)/(4) inches apart on the map, we need to maintain the same ratio.
The given ratio tells us that each 1/4 inch of a measure on a map equates to 16 miles in reality. We have 2(3)/(4) or 11/4 inches of distance between two towns on the map. Therefore, (1/4) : 16 miles principle becomes: (2(3)/(4)) : x miles. We can solve for 'x' by cross-multiplying to find that x = 176.
So, the answer is 176 miles (Answer choice K). That is how far apart the two towns are in actual distance based on the given scale of the map.
Learn more about Ratios and Map Scale here:
https://brainly.com/question/31650860
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