P 1 2 3 4 q 18 12 6 0

Required:
a. Write an expression for q as a linear function of p.
b. Write an expression for p as a linear function of q

a) An expression for q as a linear function of p is; q = 24 -6p

b) An expression for p as a linear function of q is; p = (24-q)/6

We can write an expression for q in terms of p by evaluating the rate of change as follows;

On this note;

Read more on linear function:

link

The answer is below

Step-by-step explanation:

A function shows the relationship that exist between two variables (the independent variable and dependent variable). The independent variable does not depend on any variable and is known as the input while the dependent variable depends on other variable and is known as the output.

The relationship between two variables of a linear function i.e y (dependent variable) and x (independent variable) represented by the points is given by:

a)  Write an expression for q as a linear function of p.

To do this, q is the dependent variable and p is the independent variable. From the table. the variables can be represented by (1, 18) and (2, 12)

Hence:

b)  Write an expression for p as a linear function of q.

To do this, p is the dependent variable and q is the independent variable. From the table. the variables can be represented by (18, 1) and (12, 2)

Hence:

if you are saying purchasing 3 social media ads and one newspaper ad counts as one purchase then there are:

6 purchases

if you are asking how many of each then:

18 social media ads

6 newspaper ads

28

step-by-step explanation:

because that's the answer