The distance between two towns on a map varies directly with the actual distance between the towns. Seven and a half inches on the map represents 150 miles. What is the actual distance represented by 11 inches on the map?
Cross multiply and solve for x.
7.5/150 = 11/x
To solve this problem, we can set up a proportion using the given information and the information we are trying to find.
Let "d" be the actual distance represented by 11 inches on the map. According to the problem, 7.5 inches on the map represents 150 miles.
So, we can set up the proportion:
7.5 inches / 150 miles = 11 inches / d
To solve for "d," we can cross-multiply and then solve for it:
7.5 inches * d = 150 miles * 11 inches
Now, divide both sides of the equation by 7.5 inches to isolate "d":
d = (150 miles * 11 inches) / 7.5 inches
Simplify:
d = 1650 miles / 7.5 inches
Finally, divide 1650 miles by 7.5 inches to find the actual distance represented by 11 inches on the map:
d ≈ 220 miles
Therefore, 11 inches on the map represents approximately 220 miles.
To find the actual distance represented by 11 inches on the map, we need to use the ratio provided.
The given ratio is that 7.5 inches on the map represents 150 miles. We can set up a proportion to find the actual distance.
Let's use the formula:
(distance on map) / (actual distance) = (ratio of map distance) / (ratio of actual distance)
Now, let's substitute the given values into the formula:
(7.5 inches) / (150 miles) = (11 inches) / (actual distance)
Cross-multiplying, we get:
7.5 inches * actual distance = 11 inches * 150 miles
Dividing both sides by 7.5 inches, we get:
actual distance = (11 inches * 150 miles) / 7.5 inches
actual distance = 1650 miles / 7.5 inches
actual distance = 220 miles
Therefore, 11 inches on the map represents an actual distance of 220 miles.