# Math

posted by Anonymous

WHICH KIND OF FUNCTION BEST MODELS DATA IN THE TABLE
0 -1,1 -0.5, 2 0, 3 0.5,4 1
I'm thinking quadratic because they are constant

0 1.7,1 6.8,2,27.2,3 108.8, 4 435.2
total confused here the x = 1 but the y's have no real sequence
linear no quadratic no exponential don't think it fits either none of these?

1. Steve

The first model is linear because the changes are constant.

In fact, y = x/2 - 1

For the second, check the differences:

1st: 5.1, 20.4, 81.6, 326.4
2nd: 15.3, 61.2, 244.8
If t were quadratic, the 2nd differences would be constant. Since they are also growing rapidly, you should suspect an exponential growth model.

6.8/1.7 = 4
27.2/6.8 = 4
and so on. Since the ratio is constant, you have

y = 1.7 * 4^x

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