Answer:
The model for the given point is  
                                              
Step-by-step explanation:
Given : Data  (1,0), (2,1.5), (5,2.5), (8,3).
To find : Determine the appropriate model for the given data?
Solution : 
Data  (1,0), (2,1.5), (5,2.5), (8,3).
We plot the data points on the graph and get the best fit line using trend line of the function.
Using regression calculator, 
The function has a logarithmic behavior so the best line which represent the data is given by 

and the value of R² i.e. correlation coefficient is given by 
 which is approximately equal to 1 gives you the best fit line.
 which is approximately equal to 1 gives you the best fit line.
Therefore, The model for the given point is 
Refer the attached figure below.