Posted by **Cassie** on Monday, March 11, 2013 at 7:55pm.

Which kind of function best models the data in the table? Use differences or ratios.

x y

0 1.7

1 6.8

2 27.2

3 108.8

4 435.2

A.linear

B.quadratic

C.exponential

D.none of the above

I think it is C...?

- Algebra -
**Damon**, Monday, March 11, 2013 at 8:53pm
first difference table

6.8 - 1.7 = 5.1

27.2 - 6.8 = 20.4

108.8 - 27.2 = 81.6

435.2 - 108.8 = 326.4

so not linear

second differences

20.4 - 5.1 = 15.3

81.6 - 20.4 = 61.2

326.4 - 81.6 = 244.8

so not quadratic

try ratios

6.8/1.7 = 4

27.2/6.8 = 4

ah hah ! constant ratio of 4

- Algebra -
**Reiny**, Monday, March 11, 2013 at 8:55pm
looks like

y = 1.7(4)^x

- Algebra -
**Damon**, Monday, March 11, 2013 at 8:59pm
sorry about repeat

yes, 1.7 * 4^x

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