The more often a lie is told, the more people will believe it. Many mathematical models for this psychological ploy exist

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answer : The vertical asymptote is not relevant since a negative population holds no relevance ( option 3 )

Step-by-step explanation:

attached below is the Graph of P(x) plotted using online tools as part of the solution requested by the question

From the attached graph vertical asymptote is x  = 0

Also from the graph the x-intercept is (2, 0) which means that whenever  a lie is told twice, Nobody believes the lie ( i.e. y = 0 when x = 2 )

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.

50-38=12

step-by-step explanation: