Find six rational numbers between 3 and 4

Any six rational numbers between 3 and 4 are 3.1, 3.2, 3.3, 3.4, 3.5 and 3.6.

Step-by-step explanation:

Since we want six numbers, we write 1 and 2 as rational numbers with denominator 6 + 1 =7

So multiply in numerator and denominator by 7 we get

3.20

3.25

3.50

3.75

3.333333

Step-by-step explanation:

A rational number is any number that can be turned into a fraction.

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: