The distance between two cities on a map is 4 1/2 inches. The actual distance between the two cities is 24 miles.
What is the scale used on the map?
If the scale on a different map of the same area is 1/4 inch = 1 mile, how many inches separate the same two cities?
6 inches is the second answer
the scale is 4.5in/24mi
since 1 mile = 63360 in, that means the scale is
4.5 : 24*63360 = 4.5 : 1520640 = 1:337920
Maybe now you can figure the scale on the 2nd map.
Thank You, SO MUCH!
but can you answer the second question?
if 1 mile = 1/4 inch, then 24 miles = 24 times that in inches.
I am confused on what i am supposed to put for part b
On a map, the scale is 1 inch = 20 miles. What is the actual distance between two cities that are 4.5 inches apart on the map?
To find the scale used on the map, we can set up a proportion using the given information:
Distance on the map / Actual distance = Scale on the map
Given: Distance on the map = 4 1/2 inches and Actual distance = 24 miles
Plugging in the values, we have:
4 1/2 inches / 24 miles = Scale on the map
To simplify the fraction, convert the mixed number to an improper fraction:
9/2 inches / 24 miles = Scale on the map
Now, divide the numerator by the denominator:
(9/2) / 24 = Scale on the map
To divide a fraction by a whole number, multiply the fraction by the reciprocal of the whole number:
(9/2) * (1/24) = Scale on the map
Multiply the numerators and the denominators:
9/48 = Scale on the map
Simplify the fraction:
3/16 = Scale on the map
Therefore, the scale used on the map is 3/16.
Now, let's answer the second part of the question:
If the scale on a different map is 1/4 inch = 1 mile, we can set up another proportion to find out how many inches separate the two cities:
Scale on the different map = 1/4 inch = 1 mile
Unknown distance on the different map / Actual distance = Scale on the different map
Given: Actual distance = 24 miles
Plugging in the values, we have:
Unknown distance on the different map / 24 miles = 1/4 inch = 1 mile
To isolate the unknown distance, multiply both sides of the equation by 24 miles:
Unknown distance on the different map = (1/4) inch * 24 miles
Multiply the numerators and the denominators:
Unknown distance on the different map = 24/4 inch * mile
Simplify the fraction:
Unknown distance on the different map = 6 inches
Therefore, the two cities are separated by 6 inches on the map with a scale of 1/4 inch = 1 mile.
On a map, the scale is 1 inch = 20 miles. What is the actual distance between two cities that are 4.5 inches apart on the map?
huh. I guess you can't follow the logic? If 1/4 inch = 1 mile then the scale is
1/4 in : 63360 inin = 1/4 : 63360
now just simplify that so it is 1 : ____