Identify the variation as direct, inverse, joint or combined.
the cost of the number of the same articles purchased varying with the number purchased.
a. direct
b. inverse
c. joint
d. combined

The statements " cost of the number of the same articles purchased varying with the number purchased' shows direct variation .

Option (a) is correct .

Step-by-step explanation:

Definition of the direct variation

When two variables that can be expressed by an equation in which one variable is equal to a constant times the other.

i.e

x = ky

As the x increases than y is also increase .

As given the statement in the question

The cost of the number of the same articles purchased varying with the number purchased.

i.e

As the number of purchased article increases thus cost of the articles also increases .

Therefore the statements " cost of the number of the same articles purchased varying with the number purchased' shows direct variation .

Option (a) is correct .

see attached

step-by-step explanation:

given the function as;

write the equation replacing f(x) with y

form   and fill a table containing values of y with corresponding values of x

you can take a range for   values of x as -3≤x≤3

solving for x=-3

for x=-2

repeat the same procedure to get the values of y for the remaining ,x=-1 to x=3

plot the values of y against values   of x and obtain the following graph