Question

jen is shopping online for a new pair of hiking boots. at checkout, she will use a promotion code on her purchase. the table shows the relationship between the original price of the boots, p, and the price after jen uses the promotion code, c.

original price (p)	$50	$65	$80	$95

which of the variables is independent and which is dependent?

• c is the independent variable, and p is the dependent variable.
• p is the independent variable, and c is the dependent variable.

complete the sentence.

the dependent variable is always dropdown the independent variable.

Explanation:

Part 1: Identifying Independent and Dependent Variables

To determine independent and dependent variables, we analyze the relationship: the price after promotion (\(c\)) depends on the original price (\(p\)) because the promotion is applied to the original price. So \(p\) (original price) is independent (it can vary freely), and \(c\) (price after promotion) is dependent (it depends on \(p\)). Thus, the correct option is "p is the independent variable, and c is the dependent variable."

The dependent variable ( \(c\) ) is always a function of (or depends on) the independent variable ( \(p\) ). In the context of relationships between variables, the dependent variable's value is determined by the independent variable. So the word to fill in is "dependent on" (or similar, but the key idea is that it depends on the independent variable).

Answer:

p is the independent variable, and c is the dependent variable.

Part 2: Completing the Sentence