Graph the linear function p(x)=4x .

Please find attached the required graph

Step-by-step explanation:

The given equation of the linear function is p(x) = 4·x

Comparing the above equation with the general equation for a straight line, y = m·x + c, we have;

The slope, m = 4, and the y-intercept c = 0

Therefore, the graph can be constructed by drawing a straight line passing through the origin which is inclined to the horizontal axis such that the ratio of the vertical distance of a point on the line from the x-axis to the distance of the point from the y-axis is 4 to 1

However, in order to  graph the given function, such that the values of the x and y coordinates of the points on the line representing the equation of the graph are clearly defined, we generate a table of values  using Microsoft Excel as follows;

x                            p(x)

0                            0

1                             4

2                            8

3                            12

4                            16

5                            20

6                            24

7                            28

8                            32

9                            36

10                            40

11                            44

12                            48

13                            52

14                            56

15                            60

16                            64

From which the required graph is constructed using the insert function in Microsoft Excel

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.