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Question
theres a roughly linear relationship between the number of times a species of cricket will chirp in one minute and the temperature outside, as expressed in the graph below. what does the slope of the line represent?
The slope of a line in a linear relationship \( y = mx + b \) (where \( y \) is the dependent variable, \( x \) is the independent variable, \( m \) is the slope, and \( b \) is the y - intercept) represents the rate of change of the dependent variable with respect to the independent variable. In the context of the problem, the temperature (dependent variable, \( y \)) changes as the number of chirps per minute (independent variable, \( x \)) changes.
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The slope represents the change in temperature for each additional chirp per minute.