In an experimental design, the variable for which the researcher tries to elicit a change is called the

a) random variable

b) independent variable

c) response variable

d) lurking variable

e) explanatory variable

In an experimental design, the variable for which the researcher tries to elicit a change is called the  Response variable.

Response variable--

A response variable is a variable that responds when the changes are made in an experiment.

It is also known as manipulated variable.

In an experiment the changes are made to the independent variable and corresponding to it the changes are seen in the dependent 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:

you would have to sell 24 bracelets.

step-by-step explanation:

84/3.5 = 24