There are 4 groups in a concert. each group sings the same number of songs. which equation shows how many songs will be performed in the concert? use t to represent the total number of songs in the concert, and s to represent the number of songs performed by a group. a. t = s + 4 b. t = s – 4 c. t = 4s d. t = s/4

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: