The quotient of nine more than eight times a number and seventeen

x < -1

Step-by-step explanation:

Let the unknown number be x

nine more than sum of eight times a number and seventeen, is expressed as;

9 >  8x + 17

Subtract 17 from both sides

9 - 17 > 8x+17-17

-8 > 8x

8x < -8

Divide both sides by 8

8x/8 < -8/8

x < -1

Hence the quotient is x < -1

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: