A map distance of 5 inches represents 200 miles of actual distance Suppose the distance between two cities on the maps 7 inches.What is the actual distance between the two cities?Write the rule you used to find the actual distance.
You could use a proportion. Cross multiply and solve for x.
5/200 = 7/x
A map distance of 5 inches represents 200 miles of actual distance. Suppose the distance between two cities on the map is 7 inches. What is the actual distance between the two cities? Write the rule you used to find the actual distance.
5/200"
To find the actual distance between the two cities, we can set up a proportion using the given information.
We know that 5 inches represents 200 miles, and we need to find out how many miles are represented by 7 inches.
Let's set up the proportion:
5 inches / 200 miles = 7 inches / x miles
To solve for x, we can cross-multiply:
5 inches * x miles = 7 inches * 200 miles
Simplifying this equation:
5x = 7 * 200
5x = 1400
Now, divide both sides of the equation by 5 to solve for x:
x = 1400 / 5
x = 280
Therefore, the actual distance between the two cities, represented by 7 inches on the map, is 280 miles.
The rule used to find the actual distance is to set up a proportion based on the given information and solve for the unknown using cross-multiplication.