Dale bought a map of his city. It uses a scale from 1 inch to 8 miles. Sales house and school are 1 1\/2 inches apart on the map. How far apart would his house and school be?<\/p>\n\n\n\n
The correct answer and explanation is:<\/strong><\/mark><\/p>\n\n\n\n To determine the actual distance between Dale\u2019s house and school, we use the map scale and the distance on the map:<\/p>\n\n\n\n Map Scale:<\/strong> 1 inch = 8 miles 1 1\/2 inches = 32\\frac{3}{2} inches<\/p>\n\n\n\n Multiply the number of inches on the map by the number of miles per inch: 32\u00d78=242=12 miles\\frac{3}{2} \\times 8 = \\frac{24}{2} = 12 \\text{ miles}<\/p>\n\n\n\n \u2705 Correct Answer: 12 miles<\/strong><\/p>\n\n\n\n Understanding how to convert map distances to real-world distances is essential when interpreting scaled diagrams. In this problem, Dale bought a city map where 1 inch represents 8 miles<\/strong> in real life. This means that every inch on the map corresponds to an actual 8-mile stretch in the city.<\/p>\n\n\n\n Now, Dale observed that his house and school are 1 1\/2 inches apart<\/strong> on the map. To work with this measurement more easily in calculations, we first convert the mixed number to a fraction. 1 1\/2 inches is equivalent to 3\/2 inches.<\/strong><\/p>\n\n\n\n Next, we apply the scale to determine the real-world distance. Since 1 inch equals 8 miles<\/strong>, we multiply the map distance by 8: 32 inches\u00d78 miles per inch=242=12 miles\\frac{3}{2} \\text{ inches} \\times 8 \\text{ miles per inch} = \\frac{24}{2} = 12 \\text{ miles}<\/p>\n\n\n\n So, in reality, Dale’s house and his school are 12 miles apart<\/strong>.<\/p>\n\n\n\n This method of using ratios or proportions is common in map reading, blueprint interpretation, and even model-making. The scale provides a simplified, smaller version of something much larger. As long as the scale remains consistent, you can measure any distance on the map and calculate its real-world counterpart by multiplying it by the scale factor.<\/p>\n\n\n\n Understanding map scales is not only helpful in geography and navigation but also develops proportional reasoning, which is a key math skill used in many professions, including architecture, engineering, and nursing (e.g., dosage calculations based on ratios).<\/p>\n","protected":false},"excerpt":{"rendered":" Dale bought a map of his city. It uses a scale from 1 inch to 8 miles. Sales house and school are 1 1\/2 inches apart on the map. How far apart would his house and school be? The correct answer and explanation is: To determine the actual distance between Dale\u2019s house and school, we […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-16340","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/16340","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=16340"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/16340\/revisions"}],"predecessor-version":[{"id":16341,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/16340\/revisions\/16341"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=16340"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=16340"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=16340"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
Map Distance:<\/strong> 1 1\/2 inches<\/p>\n\n\n\nStep-by-Step Calculation:<\/h3>\n\n\n\n
\n\n\n\nExplanation (300 Words):<\/h3>\n\n\n\n