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Question
- sally was monitoring the leak in a pool over the period of 30 days. she recorded the number of days per week, x, and the amount of water lost, y, in inches. she models the function with the equation y = -10x + 5. to analyze the fit of the function, sally created this dot plot. which conclusion about the fit of the function is supported by the dot plot. a the function is an appropriate fit and represents a negative, linear association between hours and water loss. b the function is an appropriate fit and represents a positive, linear association between hours of and water loss. c the function is an inappropriate fit of the association between hours and water loss. d there is no association between hours and water loss.
Step1: Analyze the slope of the function
The function is $y = - 10x+5$, and the slope $m=-10$. A negative - slope indicates a negative association.
Step2: Observe the dot - plot
If the points in the dot - plot seem to follow a linear pattern, the linear function can be a good fit. Although the dot - plot is not fully visible, based on the function $y=-10x + 5$ which is linear and has a negative slope, and assuming the points roughly follow a linear trend, the function represents a negative linear association.
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A. The function is an appropriate fit and represents a negative, linear association between hours and water loss.