Answer:
3.75 miles
Step-by-step explanation:
On the map the distance is 4 1/2 inches
The scale is 3 inches is 2 1/2 miles
We can use ratios to solve
3 inches 4 1/2 inches
-------------- = -------------
2 1/2 miles x miles
Using cross products
3 x = 4 1/2 * 2 1/2
Change the mixed numbers to an improper fractions
3x = (2*4+1)/2 * (2*2+1)/2
3x = (9/2*5/2)
3x = 45/4
Multiply by 1/3 to isolate x
3x * 1/3 = 45/4 *1/3
x = 15/4
Change this back to a mixed number
4 goes into 15 3 times with 3 left over. the left over goes over the 4
3 3/4 miles
3.75 miles
