If 3/4 of an inch on a map is equal to 45 miles, what does 1 inch represent?
(45 miles / 0.75 in) * 1 in = (45/0.75) miles = 60 miles
3/4=45
1=x
3x/4=45
3x=180
To find out what 1 inch represents on the map, we can use a proportion:
Let x represent the number of miles that 1 inch represents.
We are given that 3/4 of an inch is equal to 45 miles. Thus, we can set up the following proportion:
3/4 inch = 45 miles
1 inch = x miles
By cross-multiplying, we can solve for x:
(3/4) * x = 1 * 45
Multiplying both sides:
3x / 4 = 45
Next, we will multiply both sides by the reciprocal of 3/4, which is 4/3:
(4/3) * (3x / 4) = (4/3) * 45
The 3 on the left side cancels out with 3 in the denominator on the right side:
4x = 60
Finally, divide both sides by 4 to solve for x:
x = 60 / 4
Simplifying the division:
x = 15
Therefore, 1 inch on the map represents 15 miles.
To find out what 1 inch represents on the map, we can use a proportion.
Let's set up the proportion:
(3/4 inch) / (45 miles) = (1 inch) / (x miles)
To solve for x, we can cross-multiply:
(3/4 inch) * (x miles) = (1 inch) * (45 miles)
Next, we can simplify the expressions:
(3/4) * x = 45
To isolate x, we can multiply both sides by the reciprocal of (3/4), which is (4/3):
x = (45) * (4/3)
Finally, we can calculate the value of x:
x = 60
Therefore, 1 inch on the map represents 60 miles in reality.