A study showed that the relationship between the number of years a person smokes and the cost of their health care during their adult lifetime can be modeled by the equation y = 4000x + 400,000, where x is the number of years smoking and y is the cost of health care in dollars.

Which of these statements is true according to the model?

B

Step-by-step explanation:

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: