Troy and his friends are visiting chocolate shops in Belleville. They take a cab from one chocolate shop to another one that is 2.4 miles away. On a map with a scale of 4 inches = 9.6 miles, what is the distance between the two chocolate shops?
The scale on the map is 4 inches = 9.6 miles.
So, 1 inch on the map represents 9.6 miles / 4 inches = 2.4 miles.
Therefore, the distance between the two chocolate shops on the map is 2.4 miles / 2.4 miles/inch = 1 inch. Answer: \boxed{1\text{ inch}}.
To find the distance between the two chocolate shops on the map, we can use a proportion.
First, let's set up the proportion using the given information:
4 inches ↔ 9.6 miles
Let x be the distance between the two chocolate shops on the map.
x inches ↔ 2.4 miles
Now we can set up the proportion:
4/9.6 = x/2.4
To solve for x, we can cross-multiply:
4 * 2.4 = 9.6 * x
9.6 x = 9.6
Dividing both sides by 9.6:
x = 1
Therefore, the distance between the two chocolate shops on the map is 1 inch.