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

y X
0 1.7
1 6.8
2 27.2
3 108.8
4 435.2

linear
quadratic
exponential
none of the above

Question

Which kind of function best models the data in the table? Use differences or ratios.
	

y        X
0	1.7
1	6.8
2	27.2
3	108.8
4	435.2

    linear
    quadratic
    exponential
    none of the above

anonymous · Answer

It is easy to see the relationship is:
$$1.7\times 4^x \text{ for } x \ge 0$$ 
Now what type of function is that?

anonymous · Answer

@jasonchutko Sorry i left the room. Im not sure.
Explain further?

anonymous · Answer

What type of function would you say:
$$4^x$$
is?

anonymous · Answer

Linear?

anonymous · Answer

Linear would be something of the type:
$$4x$$

anonymous · Answer

Exponential. becuase x is an exponent. correct?

anonymous · Answer

Correct!

anonymous · Answer

A linear function means that I have constant change. For example:
x  y
0  2
1  5
2  8
3  11
4  14

Every time I increase x by one, y increases by 3! =D