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Luna is an avid runner who purchases a new pair of running shoes every 300300 miles. The number of miles Luna runs each year determines how many pairs of shoes she buys in that year.\newlinem=m = the number of miles Luna runs in a year\newlinep=p = the number of pairs of shoes Luna buys in a year\newlineWhich of the variables is independent and which is dependent?\newlineChoices:\newline(A) mm is the independent variable and pp is the dependent variable\newline(B) pp is the independent variable and mm is the dependent variable

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Q. Luna is an avid runner who purchases a new pair of running shoes every 300300 miles. The number of miles Luna runs each year determines how many pairs of shoes she buys in that year.\newlinem=m = the number of miles Luna runs in a year\newlinep=p = the number of pairs of shoes Luna buys in a year\newlineWhich of the variables is independent and which is dependent?\newlineChoices:\newline(A) mm is the independent variable and pp is the dependent variable\newline(B) pp is the independent variable and mm is the dependent variable
  1. Identify variable type: Identify whether mm is the independent or the dependent variable. The number of miles Luna runs each year is a choice she makes based on her running habits and goals. It does not depend on how many pairs of shoes she buys. Therefore, mm is the independent variable.
  2. Identify variable type: Identify whether pp is the independent or the dependent variable. The number of pairs of shoes Luna buys is directly influenced by the number of miles she runs. If she runs more miles, she will need to buy more shoes. Thus, pp is the dependent variable.
  3. Choose correct answer: Choose the correct answer choice based on the identification of independent and dependent variables. Since mm is the independent variable and pp is the dependent variable, the correct choice is (A)mm is the independent variable and pp is the dependent variable.

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