Ling is an avid runner who purchases a new pair of running shoes every 300 miles. The number of pairs of shoes Ling buys each year depends on how many miles she runs in that year.p= the number of pairs of shoes Ling buys in a yearm= the number of miles Ling runs in a yearWhich of the variables is independent and which is dependent?Choices:(A) p is the independent variable and m is the dependent variable(B) m is the independent variable and p is the dependent variable
Q. Ling is an avid runner who purchases a new pair of running shoes every 300 miles. The number of pairs of shoes Ling buys each year depends on how many miles she runs in that year.p= the number of pairs of shoes Ling buys in a yearm= the number of miles Ling runs in a yearWhich of the variables is independent and which is dependent?Choices:(A) p is the independent variable and m is the dependent variable(B) m is the independent variable and p is the dependent variable
Identify Variable Type: Identify whether p is the independent or the dependent variable. The number of pairs of shoes Ling buys is determined by how many miles she runs. Therefore, p is not independent of m; instead, it depends on the value of m.
Determine Relationship: Identify whether m is the independent or the dependent variable. The number of miles Ling runs does not depend on how many pairs of shoes she buys. Therefore, m is the independent variable because it is the variable that is controlled by Ling's actions, not by the number of shoes she has.
Express Relationship: Determine the relationship between p and m. Since Ling buys a new pair of shoes every 300 miles, the number of pairs of shoes p she buys is directly proportional to the number of miles m she runs. We can express this relationship as p=300m.
Choose Correct Answer: Choose the correct answer choice based on the identification of independent and dependent variables. Since m is the independent variable and p is the dependent variable, the correct choice is (B)m is the independent variable and p is the dependent variable.
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