4/24 = 1/m
4m = 24
m = 6 miles
What do you think the answer to the second question is?
What is the scale used on the map?
If the scale on a different map of the same area is inch = 1 mile, how many inches separate the same two cities?
4m = 24
m = 6 miles
What do you think the answer to the second question is?
Let x be the scale used on the map (in inches per mile).
The proportion can be set up as follows:
4 inches / 24 miles = x inches / 1 mile
To solve for x, we can cross-multiply and then divide:
4 * 1 = 24 * x
4 = 24x
x = 4/24
x = 1/6
Therefore, the scale used on the map is 1 inch = 6 miles.
Now, let's use this scale to find out how many inches separate the same two cities on the different map, where the scale is inch = 1 mile.
Since the scale on this new map is inch = 1 mile, we can set up a proportion using the known scale:
1 inch / 1 mile = y inches / 24 miles
To solve for y, we can cross-multiply and then divide:
1 * 24 = y * 1
24 = y
y = 24
Therefore, on the new map where the scale is inch = 1 mile, the same two cities are separated by 24 inches.