Answer:
20 = initial population of the rabbits 
1.014 = growth rate of the rabbits 
the average rate of change from day 50 to day 100 is 0.8
Step-by-step explanation:
A population of rabbits in a lab, p(x), can be modeled by the function
 p(x) = 20(1.014)^x
This model is exponential. Where 20 = initial population of the rabbits 
1.014 = growth rate of the rabbits with 1.4% increase rate of the rabbits 
To find the average rate of change from day 50 to day 100,
find the population p(50) and p(100). Subtract them and divide by 100 - 50 = 50. 
p(50) = 20(1.014)50 = 40.08... 
p(100) = 20(1.014)100 = 80.32... 
(80.32 - 40.08) / (100 - 50) = 40.24/50 = 0.8048. which is approximately 0.8 to the nearest tenth. 
The rate of change is 0.8.