The distance from City Y to City Z is 2.25 inches on the map. The actual distance is 45 miles. The distance from City X to City Y is 1.75 inches on the map. What is the actual distance, in miles, from City X to City Y?
1.75 inches ( 45 miles/2.25 inches) =
23cm=9.2miles
To find the actual distance from City X to City Y, we can set up a proportion using the information given.
Let's say the actual distance from City X to City Y is represented by "d".
According to the map, the distance from City Y to City Z is 2.25 inches, which corresponds to an actual distance of 45 miles.
Similarly, the distance from City X to City Y is 1.75 inches on the map.
Setting up the proportion:
1.75 inches / 2.25 inches = d miles / 45 miles
Now we can solve for "d" by cross-multiplying:
1.75 inches * 45 miles = 2.25 inches * d miles
78.75 inches*miles = 2.25 inches * d miles
Dividing both sides by 2.25 inches:
78.75 inches*miles / 2.25 inches = d miles
35 miles = d
Therefore, the actual distance from City X to City Y is 35 miles.
To find the actual distance from City X to City Y, we can set up a proportion using the distances on the map and the actual distances.
Let's define:
dXY as the actual distance from City X to City Y (in miles).
dYZ as the actual distance from City Y to City Z (in miles).
mXY as the distance from City X to City Y on the map (in inches).
mYZ as the distance from City Y to City Z on the map (in inches).
From the given information:
mYZ = 2.25 inches
dYZ = 45 miles
mXY = 1.75 inches
We can set up the proportion:
(mXY / dXY) = (mYZ / dYZ)
Plugging in the given values:
(1.75 inches / dXY) = (2.25 inches / 45 miles)
To find dXY, we need to isolate it on one side of the equation. We can do this by cross-multiplying the fractions:
1.75 inches * 45 miles = 2.25 inches * dXY
Simplifying the equation:
78.75 inches * miles = 2.25 inches * dXY
Dividing both sides by 2.25 inches:
78.75 inches * miles / 2.25 inches = dXY
35 miles = dXY
Therefore, the actual distance from City X to City Y is 35 miles.