Final answer:
To find how far the mini doodle can run in 1 mile, we need to set up a proportion using the given information. Solving for the unknown distance, we find that the dog can run approximately 13/660 mile in 1 mile.
Step-by-step explanation:
To find the unit rate (miles per hour) that a mini doodle can run, we need to divide the distance it can run by the time it takes. The given information is that the mini doodle can run 22 miles in 3/4 of an hour. To find how far the dog can run in 1 mile, we need to set up a proportion. Since we are looking for the distance in 1 mile, we let the numerator of the proportion be 1 mile. Let x represent the unknown distance the dog can run in 1 mile.
1 mile / x = 22 miles / (3/4) hour
To solve for x, we can cross-multiply and then divide to isolate x:
(3/4) hour * 1 mile = 22 miles * x
3/4 mile = 22x
To isolate x, we divide both sides of the equation by 22:
(3/4) mile / 22 = x
After simplifying, x ≈ 13/660 mile.
Therefore, the dog can run approximately 13/660 mile in 1 mile.