A construction worker is building a wall. The wall is 20 yards long. He needs to place a stud every 16 inches. The first dad has already been placed at one end of the wall. How many additional studies are needed, if the last dad will be placed at the other end of the wall? Yeah A construction worker is building a wall. The wall is 20 yards long. He needs to place a stud every 16 inches. The first aid has already been placed at one end of the wall. How many additional studs are needed, if the last stud will be placed at the other end of the wall?

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:

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step-by-step explanation: