Answer :
The distance between Austin and Corpus Christi on the map will be A)5.8 inches.
To determine the distance between Austin and Corpus Christi on the map, we use the given scale of 2 inches = 80 miles.
We start by setting up a proportion to relate the distance on the map (x inches) to the actual distance between the two cities (232 miles):
2 inches / 80 miles = x inches / 232 miles.
To solve for x, we cross multiply:
80 * x = 2 * 232.
Next, we divide both sides by 80:
x = (2 * 232) / 80.
Calculating the numerator first:
2 * 232 = 464.
Then, we divide 464 by 80:
x = 464 / 80 = 5.8.
Hence, the distance between Austin and Corpus Christi on the map will be 5.8 inches, matching option A). This calculation demonstrates the application of proportionality and simple arithmetic to find the distance on the map based on the given scale and the actual distance between the two cities.
A) 5.8 inches
