Solve n – 96 < –58. n < 38

n < –154

n < –38

n > 38

n<38

Step-by-step explanation:

n – 96 < –58

Add 96 to each side

n – 96+96 < –58+96

n<38

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: