Answer:To find the average rate of change of V with respect to p, we need to calculate the change in V divided by the change in p over the given interval.
Given the formula V(p) = 1p, we can substitute the values of p = 6 and p = 7 into the formula to find the corresponding volumes V.
V(6) = 1 * 6 = 6 liters
V(7) = 1 * 7 = 7 liters
The change in V over the interval is the difference between the final and initial volumes: V(7) - V(6) = 7 - 6 = 1 liter.
The change in p is the difference between the final and initial values of p: 7 - 6 = 1 atmosphere.
To find the average rate of change, we divide the change in V by the change in p:
Average rate of change = (change in V) / (change in p) = 1 liter / 1 atmosphere = 1 liter/atmosphere.
Therefore, the average rate of change of V with respect to p as p increases from p = 6 to p = 7 is 1 liter/atmosphere.