A simple roadmap focuses on the interstate highways connecting Dallas-Fort Worth, Houston, and San Antonio, forming a triangle. Dallas-Fort Worth is at the top center of the map. The road leading from Dallas-Fort Worth to Houston in a southeasterly direction is labeled Route 45. The road leading from Houston to San Antonio in a westerly direction is labeled Route 10. The road leading from San Antonio to Dallas-Fort Worth in a northeasterly direction is labeled Route 35. A scale shows 80 miles and 80 kilometers.
Employ your understanding of the use of a graphic map scale to determine the approximate distance between San Antonio and Houston within 10 miles (you may want to use a ruler).
(1 point)
Responses
approximately 80 miles
approximately 80 miles
approximately 180 miles
approximately 180 miles
approximately 240 miles
approximately 240 miles
approximately 280 miles
approximately 280 miles
To determine the approximate distance between San Antonio and Houston within 10 miles, you would need to use the map scale. In this case, the map scale shows 80 miles and 80 kilometers. Since the distance between San Antonio and Houston on the map is not specified, you can use the ruler or a measuring tool to measure the distance in miles and compare it to the map scale.
If the measured distance between San Antonio and Houston is less than 80 miles on the map, then the approximate distance would be less than 80 miles.
If the measured distance between San Antonio and Houston is between 80 and 160 miles on the map, then the approximate distance would be between 80 miles and 160 miles.
If the measured distance between San Antonio and Houston is between 160 and 240 miles on the map, then the approximate distance would be between 160 miles and 240 miles.
If the measured distance between San Antonio and Houston is between 240 and 320 miles on the map, then the approximate distance would be between 240 miles and 320 miles.
Based on the given information, none of the provided options match the approximate distance between San Antonio and Houston within 10 miles.
To determine the approximate distance between San Antonio and Houston within 10 miles, we can use the graphic map scale provided. The scale shows 80 miles, so we can use a ruler to measure the distance on the map between San Antonio and Houston.
Looking at the map, we can see that the distance between San Antonio and Houston is roughly between 2.5 to 3 inches.
Now, we need to convert the inches on the map to miles using the scale. Let's assume that the distance on the map is 2.75 inches.
Using the scale, we can set up a proportion:
80 miles --> 1 inch
x miles --> 2.75 inches
Cross-multiplying and solving for x, we get:
x = (80 miles * 2.75 inches) / 1 inch
x = 220 miles
Therefore, the approximate distance between San Antonio and Houston is approximately 220 miles, which is closest to the option:
approximately 240 miles