Answer:
f(8) = 6.25(1.1)8; f(8) = 13.397
Step-by-step explanation:
First, you have to identify which type of relation the points have. The most common ones are arithmetic sequences or geometric sequences. The x values change in the same amount every time, in this case by 1.
If the If the relation is arithmetic , if we subtract the y coordinates you should get the same result every time.
6.6875 - 6.25 = 0.4375
7.5625 - 6.6875 = 0.875
8.31875 - 7.5625 = 0.75625
If the relation is geometric, if we divide the y coordinates you should get the same result every time.
6.6875 / 6.25 = 1.1
7.5625 / 6.6875 = 1.1
8.31875 / 7.5625 = 1.1
This means the relation is geometric and the y value increases 1.1 times. That means that the next value should be 6.25*1.1^8 = 13.397.