Question

Kyle is told that the distance between the lower waterfall and the upper waterfall in his favorite national park is about 1 and 1/2 miles. The distance between the falls on Kyle’s map is about 1/2 inch. What is the unit rate calculated in miles per inch?

Answer 1

To calculate the unit rate in miles per inch, set up a proportion using the given information and solve for x. The unit rate is 3 miles per inch.

Step-by-step explanation:

To calculate the unit rate in miles per inch, we can set up a proportion using the given information. The distance between the lower waterfall and the upper waterfall is 1 and 1/2 miles and the distance between the falls on the map is 1/2 inch. Let's set up the proportion:

1.5 miles / 0.5 inch = x miles / 1 inch

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

0.5x = 1.5

x = 1.5 / 0.5

x = 3

Therefore, the unit rate is 3 miles per inch.