An inch on a map represents 200 miles. Same map a distance of 375 is represented by?
To determine the representation of a distance of 375 miles on the same map where an inch represents 200 miles, we can set up a proportion:
1 inch/200 miles = X inches/375 miles
Using cross multiplication, we have:
1 * 375 = 200 * X
375 = 200X
X = 375/200
X = 1.875
Therefore, a distance of 375 miles on the same map would be represented by 1.875 inches.
To find the distance represented by 375 on the map, we can set up a proportion using the given information:
1 inch represents 200 miles
x inches represents 375 miles
Let's use x to represent the distance in inches. The proportion can be written as:
1 inch / 200 miles = x inches / 375 miles
To solve for x, we can cross-multiply and then solve for x:
1 * 375 = 200 * x
375 = 200x
Divide both sides of the equation by 200:
x = 375 / 200
Simplifying the fraction:
x = 1.875
Therefore, a distance of 375 miles on the map would be represented by 1.875 inches.