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As part of a community service project at your high school, you are organizing a fund-raiser at the neighborhood movie theater. Money raised will benefit a summer camp for children with special needs. The admission charge is $10.00 per person, $5.50 of which is used to pay the movie theater’s rental fee. The remainder is donated to the summer camp fund.

There are two variables involved in this problem. Which variable can best be designated as the dependent variable? As the independent variable?
a.
Independent variable - number of persons attending (or number of tickets sold);
Dependent variable - the amount donated
b.
Independent variable - the amount donated;
Dependent variable - number of persons attending (or number of tickets sold)
c.
Independent variable - number of persons attending (or number of tickets sold);
Dependent variable - the amount of the admission per person
d.
Independent variable - number of persons attending (or number of tickets sold);
Dependent variable - the amount paid towards the movie theater’s rental fee.


Please select the best answer from the choices provided

A
B
C
D



Answer :

The correct option that gives the variables that can best be designated as either the independent or dependent variables is the option a

a. Independent variable – Number of persons attending (or number of tickets sold);

Dependent variable – The amount donated

What is a dependent or an independent variable?

The given parameters are;

Project: Raising money for a summer camp for children with special needs

The admission fee charged, A = $10.00 per person

The fee for renting the cinema, C = $5.5 per person

Therefore;

The amount donated per person = $10.0 - $5.5 = $4.5

The dependent variable is the variable that is being observed or measured by the researcher.

An independent variable is one that does not depend on the other variables under study by the researcher. It is the input variable which determines the output.

Let X represent the number of people attending which is the same as the number of tickets sold and let Y represent the measure of the goal of the exercise, which is the amount of money donated or raised.

The following equation can be obtained;

  • Y = 4.5•X

In the above equation, the amount of money donated, Y, depends on the number of tickets sold, or the number of persons attending, X

Therefore;

The independent variable which is the variable that does not depend on the other variables, is the number of persons attending, X

The dependent variable is the variable being measured or observed, which is the amount donated, Y

The correct option is therefore;

a. Independent variable – Number of persons attending (or number of tickets sold);

Dependent variable – The amount donated

Learn more about dependent and independent variables in statistics here:

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