a road trip has a scale of 5/8 inches for every 125 miles.. how many inches would be needed to represent 1000 miles on the map?
Let's set up a proportion with x representing the inches need to represent 1,000 miles.
(5/8)/125 = x/1000
125x = 625
x = 5 inches
To find out how many inches would be needed to represent 1000 miles on the map, we can use a proportion.
The given scale is 5/8 inches for every 125 miles. We can set up the proportion by equating the distance on the map (x inches) to the actual distance (1000 miles).
So, we have the proportion:
5/8 inches = 125 miles
x inches = 1000 miles
To solve this proportion, we can cross-multiply.
(5/8) * 1000 miles = 125 miles * x inches
Simplifying, we get:
(5 * 1000) / 8 miles = 125 miles * x inches
Dividing both sides by 125 miles, we have:
[(5 * 1000) / 8 miles] / 125 miles = x inches
Now, let's calculate the answer:
[(5 * 1000) / 8] / 125 = x inches
5000 / 8 = x inches
625 = x inches
Therefore, 1000 miles on the map would be represented by 625 inches.