The cost of buying a small piece of land in a remote village since the year 1990 is represented by the following table . Which model c(t) the cost of the piece of land t years since 1990, best fits the data?

C(t)=30+3.5t

Step-by-step explanation:

Yeah this is the answer

C(t)=30+3.5t

Step-by-step explanation:

Time increases by 2, the average difference in the cost is approximately 7.

So if d is the common difference of the function modeling this relationship, then  2d≈72.

Therefore,  d≈ 7/2 = 3.5

Since the initial cost of the land is 30 thousand dollars, the function that best models its cost t years since 1990 is C(t)=30+3.5t

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for