Scales of Analysis Quick Check
3 of 53 of 5 Items
Question
Use the image to answer the question.
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 280 miles
approximately 280 miles
approximately 240 miles
approximately 240 miles
To determine the approximate distance between San Antonio and Houston within 10 miles, we need to use the graphic map scale. The scale indicates that 80 miles is equivalent to the length shown on the map.
Using a ruler, we can measure the distance between San Antonio and Houston on the map. Let's say the measured distance is 2.4 inches.
Since the scale is 80 miles, and the measured distance is 2.4 inches, we can set up the following proportion:
80 miles / 2.4 inches = x miles / 10 inches
Now we can solve for x by cross-multiplying:
2.4 inches * x miles = 10 inches * 80 miles
2.4x = 800
x = 800 / 2.4
x ≈ 333.33 miles
Therefore, the approximate distance between San Antonio and Houston, within 10 miles, is approximately 333 miles.