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

## Answer This Question

## Related Questions

- Math help and check - Which kind of function best models the set of data points...
- Algebra - Which kind of function best models the set of data points (–3, 18), (–...
- Algebra 1 - Which kind of function best models the set of data points: -1,22 0,6...
- ALGEBRA - WHICH FUNCTION LINEAR EXPONENTIAL OR QUADRATIC BEST MODELS THIS DATA...
- Algebra - Can someone help me with this question. I thought it was quadratic but...
- Algebra - You are going to write a fairy tale! Your story should include all of ...
- Math - Explain in a variety of ways how you can distinguish the exponential ...
- Algebra-Please check - y = 2x^2 I am to decide if this is a linear, quadratic or...
- Algebra - Mary creates a table of values for a function and plots the points. ...
- Algebra word prob - I don't have a graphing calc so I need help with this one. ...

More Related Questions