Question

"Houston and New York City are approximately 1, 600 miles apart. A map showing these two cities uses the scale 2 Inches equals 600

mlles. What is the approximate distance on the map between Houston and New York City? Round to the nearest tenth.
A) 48.0 inches
B) 19.6 inches
C) 12.7 inches
D) 5.3 inches"

Answer 1

Using the given scale of 2 inches equals 600 miles, we set up a proportion and calculate an approximate map distance between Houston and New York City of 5.333 inches, which rounds to 5.3 inches (Option D).

Step-by-step explanation:

To find the approximate distance on the map between Houston and New York City, we'll use the scale given in the problem, which is 2 inches equals 600 miles. To solve this problem, we'll set up a proportion to compare the actual distance with the distance on the map.

The proportion will be 2 inches / 600 miles = distance on the map / 1600 miles. Solve for the unknown by cross-multiplying and dividing:

1. Multiply both sides of the equation by 1600 miles to isolate the distance on the map.
2. Calculate the equivalent distance: (2 inches / 600 miles) × 1600 miles = distance on the map.
3. The result is approximately 5.333 inches.

Rounding to the nearest tenth of an inch, the distance on the map between Houston and New York City is approximately 5.3 inches (Option D).