A sewing machine sews at a constant rate of 1,500 stitches per minute. If the equation, y = 1,500x represents the relationship between the number of minutes, x, and the total number of stitches, y, what is the independent and dependent variable? (EE.C.9b)

Even though everything can be almost always related to its reason, when we talk about two related things, there might happen that one of those things is dependent on other.

If a variable is taking its values independently of any visible direct cause, then that variable is called independent variable.

The variables who take their values based on some other variables' values are called dependent variables.

For the considered case, the two variables in consideration are:

x = number of minutes
y = the total number of stitches

Time doesn't depend on number of stitches. Its thus, measuring an independent quantity.

The total number of stitches depends on how much time it passed since sewing. So the quantity 'y' depends on the value of 'x'

Thus, variable 'y' is dependent variable.

Therefore, in the considered case, we have:

Independent variable is x = number of minutes
Dependent variable is y = total number of stitches

Learn more about dependent and independent quantities here:

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A sewing machine sews at a constant rate of 1,500 stitches per minute. If the equation, y = 1,500x represents the relationship between the number of minutes, x, and the total number of stitches, y, what is the independent and dependent variable? (EE.C.9b)​

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What are independent and dependent variables?

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A sewing machine sews at a constant rate of 1,500 stitches per minute. If the equation, y = 1,500x represents the relationship between the number of minutes, x, and the total number of stitches, y, what is the independent and dependent variable? (EE.C.9b)