Aresearcher believes that eating all organic foods will improve blood pressure. so, the researcher studies groups as their diet is altered. describe the independent variable (treatment variable) and the dependent variable (the variable of interest).

make sure you answer all questions and write in complete sentences.

Independent variable - diet

Dependent variable - blood pressure

Step-by-step explanation:

This researcher is interested in how one's diet affects their blood pressure, with her hypothesis being that eating all organic foods will improve one's blood pressure. The independent variable is always the variable that is manipulated by the observer/researcher. The dependent variable is the one that whose reading is taken due to the manipulation of the independent variable. It depends on the independent variable

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:

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