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CCSS.Math:

on your math quiz you earn five points for each question that you answer correctly and the table above Q represents the number of questions that you answer correctly on your math quiz and P represents the total number of points that you score on your quiz the relationship between these two variables can be expressed by the following equation P is equal to five Q where P is the points you get and Q is a number of questions you answered correctly and you can see that in the table if Q is zero if you've got no questions right you get zero points if you've got no questions right we'll five times zero is going to be zero if you get one question right well 1 times 5 is 5 you get 5 points per question two questions right well 2 times 5 is 10 2 times 5 is 10 3 times 5 is 15 so this all makes sense so then they asked us which of the following statements are true check all that apply so let's think about this they say the dependent variable is the number of points you score so when you think about what's happening here is your number of points you score is being driven by how many questions you get right it's not like somehow the teacher says you got fifteen points and now you have to get exactly three questions right the other way around the number of questions you get right is the independent variable and that's driving the number of points you score so the number of points you score is the dependent is the dependent variable and typically the convention is is to have the dependent variable being equal to some expression involving the independent variable and you see that right over here P is dependent on what happens to Q depending on the number of questions you multiply it by 5 and you get P so the dependent variable is the number of points you score the dependent variable is the number of questions you answer correctly know we've already talked about that that's the independent variable the independent variable is the number of points you score no that's not right that's the dependent variable the independent variable is the number of questions you answer correctly well that's right that's what's driving the dependent variable and we can check our answer