Two towns on a map are 2 1/4 inches apart. The actual distance between the two towns is 45 miles. what does one inch on the map represent?
2.25/45 = 1/x
Cross multiply and solve for x.
If two towns are 2 1/2 inches apart on the map, what is the actual distance between the towns?
To determine what one inch on the map represents, we can set up a proportion using the information provided:
1 inch on the map represents X miles in real life.
2 1/4 inches on the map represents 45 miles in real life.
Using the information above, we can set up the proportion:
(1 inch on map) / (X miles in real life) = (2 1/4 inches on map) / (45 miles in real life)
Now, let's solve for X:
(1 / X) = (2.25 / 45)
Cross-multiply:
2.25 * X = 1 * 45
2.25X = 45
Divide both sides by 2.25:
X = 45 / 2.25
X = 20
Therefore, one inch on the map represents 20 miles in real life.
To find out what one inch on the map represents, you need to calculate the scale of the map. The scale is the ratio between the distances on the map and the actual distances on the ground.
In this case, you're given that two towns on the map are 2 1/4 inches apart, and the actual distance between them is 45 miles.
First, convert the mixed fraction 2 1/4 to an improper fraction. You do this by multiplying the whole number (2) by the denominator (4) and adding the numerator (1). This gives you 9/4 inches.
To find out what one inch on the map represents in miles, you can set up a proportion:
(2 1/4 inches) / (45 miles) = (1 inch) / (x miles)
Cross-multiply to solve for x:
(2 1/4 inches) * (x miles) = (1 inch) * (45 miles)
9/4 * x = 45
To isolate x, divide both sides of the equation by 9/4:
x = (45) / (9/4)
x = 45 * (4/9)
Simplifying, x = 20 miles.
Therefore, one inch on the map represents 20 miles in actuality.