Consider the following data:

If $1000 is invested at 6% simple interest, the initial value and the future value S at the end of each of 5 years are shown in the table.

Year ( t )	0	1	2	3	4	5
Future Value ( S )	1000	1060	1120	1180	1240	1300

(a) Since the first differences of data outputs in the table are constant for uniform inputs, the rate of change is constant and a linear function can be found that fits the data exactly.

Thus, a linear function can model exactly the points from the table.