If a measurement of 2.25 inches on a map represents 50 miles, what distance does a measurement of 18 inches on the map represent?
since the ratio is constant,
50/2.25 = x/18
To find the distance that a measurement of 18 inches on the map represents, we can set up a ratio using the given information.
The ratio of inches on the map to miles is 2.25 inches : 50 miles.
We can use this ratio to find the distance represented by 18 inches on the map.
In terms of the ratio, we can set up a proportional equation:
2.25 inches / 50 miles = 18 inches / x miles
To solve for x, we can cross-multiply:
2.25 inches * x miles = 50 miles * 18 inches
x = (50 miles * 18 inches) / 2.25 inches
Now we can calculate the value of x:
x = (900 miles * inches) / 2.25 inches
x = 400 miles
Therefore, a measurement of 18 inches on the map represents a distance of 400 miles.
To find the distance represented by 18 inches on the map, we need to use the given scale of 2.25 inches representing 50 miles.
First, we determine the scale factor by dividing the distance on the map by the corresponding actual distance:
Scale factor = Actual distance / Map distance
In this case, the actual distance is 50 miles and the map distance is 2.25 inches:
Scale factor = 50 miles / 2.25 inches
To find the distance represented by 18 inches on the map, we multiply the scale factor by the map distance:
Distance represented = Scale factor * Map distance
Let's substitute the values into the equation:
Scale factor = 50 miles / 2.25 inches
Distance represented = (50 miles / 2.25 inches) * 18 inches
Now, let's calculate the result:
Distance represented = (50 miles / 2.25 inches) * 18 inches
Distance represented ≈ 400 miles
So, a measurement of 18 inches on the map represents approximately 400 miles.