In a clinical trial, 780 participants suffering from high blood pressure were randomly assigned to one of three groups. Over a one-month period, the first group received a low dosage of an experimental drug, the second group received a high dosage of the drug, and the third group received a placebo. The diastolic blood pressure of each participant was measured at the beginning and at the end of the period and the change in blood pressure was recorded. Identify the levels of the factor.

Levers of the factor are High dosage , Low dosage and Placebo.

Step-by-step explanation:

Levels of the factor refer to the number of variations of factor that are used in the experiment. The effect of the factor can be evaluated by these levels.

Here the factor is the experimental drug.

The first group received a low dosage of an experimental drug,

The second group received a high dosage of the drug,

The third group received a placebo.

It can be observed from above three statements that there are 3 levels of factor. These three levels can be used to assess the effect of the experimental drug on 780 participants suffering from high blood pressure.

The factor experimental drug has three levels that are:

High dosage

Low dosage

Placebo

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:

the answer will be the last one