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Three geometric sequences are given below.
Sequence A: 160, 40, 10, 2.5, ...
Sequence B: -21, 63, -189, 567, ...
Sequence C: 8, 12, 18, 27, ...
Order the sequences from least common ratio to greatest common ratio.
Sequence A
Sequence c
Sequence B

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

c

step-by-step explanation: