Write a function for: The output is 5 less than twice the input.
O y= 1/2x-5
y=5 - 2x
O y=2x - 5
O y= 5x - 2

Step-by-step explanation:

Let us have y as the output and x as the input

5 is less than twice the input

twice the input is x * 2 = 2x

so we have 2x-5

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: