A special task force of a military unit requires that the recruits not be too tall or too short. Suppose 12% of the applicants are rejected because they are too tall and 18% because they are too short. If the height of an
applicant is normally distributed with a mean of 69.4 inches and a standard deviation of 3.5 inches, determine
the heights that define whether an applicant is accepted or rejected.

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:

a

step-by-step explanation: