Question

On a map, ½ inch represents 4/5 mile. What distance on the map represents 1 mile? _____ inches on map = 1 mile
Show your work.

Answer 1

@shadow can you help?

Answer 2

o here is how we are going to know the answer. Since 1/2 mile is equal to 4/5 mile, so we will solve this using proportions. 1/2 inches : 4/5 mile : ?
Missing: _____ ‎work.

Answer 3

In this case, we can use the ratio method to determine the distance on the map that represents 1 mile.

We know that ½ inch represents 4/5 mile, which can be written as:

1/2 inch / 4/5 mile

To find out how many inches on the map represent 1 mile, we can set up the following proportion:

1/2 inch / 4/5 mile = x inches / 1 mile

where x is the number of inches on the map that represents 1 mile.

To solve for x, we can cross-multiply and simplify:

1/2 inch * 1 mile = 4/5 mile * x inches
1/2 mile = 4/5 mile * x inches
x inches = (1/2 mile) / (4/5 mile)
x inches = (1/2) / (4/5)
x inches = 5/8 inch

Therefore, what _____ inch on the map represents 1 mile?