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;

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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:

f(x) is the value of the function. b is the value of the function when x equals zero or the y-coordinate of the point where the line crosses the y-axis in the coordinate plane.

step-by-step explanation:

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