Question

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

Answer 1

Answer:

Option C. exponential

Step-by-step 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...

$2=\frac{4}{2} = \frac{8}{4} = \frac{16}{8} = \frac{32}{16} =...$

$y=2^x$