Final answer:
The inequality to represent how much more weight Logan's puppy could gain to exceed 20 lbs is w > 7.5, where w is the weight gain in pounds.
Step-by-step explanation:
To determine how much more weight Logan's puppy might gain to reach over 20 lbs, we can set up an inequality. The puppy currently weighs 12.5 lbs. The inequality to represent this situation would be:
w > 20 - 12.5
Where w represents the additional weight the puppy could gain in pounds. Simplifying the inequality:
w > 7.5
This inequality means that the puppy could gain more than 7.5 pounds.