Question

What function can be used to model data pairs that have a common ratio?

linear
quadratic
exponential
none of the above

Answer 1

Option C. exponential

Explanation:

"Common Ratio" is the term always used in geometric sequence which is in the exponential form.

We can write the function defined by exponential as

`f(x)=r^(n)`

Where r is the common ratio and n is denoting number of terms.

Now if we plug in the values of n as 1, 2, 3, 4

The sequence will be
`r^(1), r^(2), r^(3), r^(4)` and so on.

Therefore the exponential function can be used to model data pairs that have a common ratio.

Answer 2

Correct answer is C.

For example 2, 4, 8, 16, 32...


`2=(4)/(2) = (8)/(4) = (16)/(8) = (32)/(16) =...`


`y=2^x`