Question

Jada gets a quarters from a change machine at an arcade. She receives 4 quarters for every
dollar bill, d, that she puts into the machine.

What variable is dependent and independent between The number of dollor bills which is d and the number of quarters which is q??

Answer 1

Answer:

The dollar bills d are the independent variable while the number of quarters q are the dependent variable

Step-by-step explanation:

Here, we want to state the variable that is dependent and the one that is independent

from the question, she has to put in dollars to get the quarters

so the number of quarters she gets is dependent on the number of dollars put into the machine

Thus, we can conclude that;

The dollar bills are the independent variable while the number of quarters q are the dependent variable

Answer 2

Independent variables are those who are not dependent on other variables. In contrast, their exists dependent variables whose value depends on some other variable(s)' value(s).

For given case, the number of dollar bills 'd' is independent variable with respect to variable 'q'.

The number of quarters 'q' is dependent variable.

What are independent variables?

Independent variables are those who are not dependent on other variables for their evaluation.

What are dependent variables?

Those variables whose value is decided by the values of other variables. This shows that the variable in consideration is dependent on other variables for its values, thus called dependent variable.

Which of 'd' or 'q' is dependent and independent?

If you see it carefully, you'll see that the quarters received from the change machine is depending on how much dollar bills you're feeding to the machine.

Thus, the value of 'q' is dependent on the value of d.

But since d takes its value independent of q (it exists before q exists and doesn't need q to get its values), thus, d is not dependent on q or is independent variable with respect to q(i said "with respect to q" since d might be dependent on some other variable which we do not know right know)

Thus:

The variable 'q' is dependent variable (depends on d)

The variable 'd' is independent variable with respect to 'q.

Learn more about dependent and independent variables here;

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