The scale on a map is approximately 3/4 inch to
9 miles. If the distance from city A to city B measures
7.5 inches on the map, how far apart are the two cities?
To find the actual distance between the two cities, we can use the scale on the map. Given that the scale is 3/4 inch to 9 miles, we can set up a proportion:
(3/4 inch) / (9 miles) = (7.5 inches) / x miles
Now we can cross-multiply and solve for x:
(3/4) * x = (7.5 * 9)
Multiplying both sides by 4/3:
x = (7.5 * 9) * (4/3)
x ≈ 101.25 miles
Therefore, the actual distance between city A and city B is approximately 101.25 miles.
To find the actual distance between the two cities, you can use the scale provided on the map. Given that the scale is 3/4 inch to 9 miles, we can set up the following proportion:
(3/4 inch) / (9 miles) = (7.5 inches) / (x miles)
To solve for x, we can cross multiply:
(3/4) * x = (7.5) * 9
Multiply the denominators:
(3/4) * x = 67.5
To isolate x, divide both sides by (3/4):
x = 67.5 / (3/4)
Divide the numerator by the denominator:
x = 67.5 * (4/3)
Multiply the numbers:
x = 90
Therefore, the two cities are approximately 90 miles apart.