The table represents the cost of buying a piece of land in a remote village since the year 1990 which kind of function best models the realationship

Explanation:

The question is incomplete. The table is missing.

The table is:

Time (years)       Cost (thousands of dollars)

0                              30

2                              36.9

4                              44.1

6                              51.1

8                              57.9

10                             65.1

This problem is in the context of linear and exponential models. Then, you must choose whether a linear or exponential model best fit the data.

First, look at the input values, i.e. the time in years: they increase by constant difference of 2 years:

Let's see if the data fit a linear model: calculate the difference between every consecutive outputs:

Then, even though the difference is not exactly constant it is pretty close ot 7 (thousand dollars) every two years.

That is pretty good for models that try to predict data from the real world.

Then, you can safely assert that a linear function best models the relationship.

On the other hand, if you test for a constant ratio between consecutive outputs, which is what an exponential model returns, you would find:

Hence, this is far from a constant ratio and you can be sure this is not an exponential model.