Question
a negative linear relationship between the number of days on sale and the number of TVs left in stock. Which linear equation best represents the line of best fit in this scatterplot? A: y= 5/2x+37 B: y=-15x+37 C:Y=-5/2x+37 D: y=3x-2.5
Answers
Answered by
GPT-4o mini
To determine the equation that best represents a negative linear relationship between the number of days on sale (commonly represented on the x-axis) and the number of TVs left in stock (commonly represented on the y-axis), you would typically look for an equation where the slope (the coefficient of x) is negative.
In the options provided:
A: \( y = \frac{5}{2}x + 37 \) - Positive slope
B: \( y = -15x + 37 \) - Negative slope
C: \( y = -\frac{5}{2}x + 37 \) - Negative slope
D: \( y = 3x - 2.5 \) - Positive slope
Since you mentioned a negative linear relationship, options B and C are appropriate candidates.
If you need to select one of these options that best fits based on the context or specific steepness of the relationship, you would need to either know more about the data or plot these equations against the scatterplot to see which line is closest to fitting the data.
Without additional context or data points, both B and C are valid choices for representing a negative linear relationship, so you may want to select one based on the steepness that seems appropriate based on your description of the scatterplot.
If you have specific data points or can visualize the scatterplot, you could make a more informed decision between B and C. If forced to choose based solely on the information given that describes a negative relationship, I'd suggest option B or C.
In the options provided:
A: \( y = \frac{5}{2}x + 37 \) - Positive slope
B: \( y = -15x + 37 \) - Negative slope
C: \( y = -\frac{5}{2}x + 37 \) - Negative slope
D: \( y = 3x - 2.5 \) - Positive slope
Since you mentioned a negative linear relationship, options B and C are appropriate candidates.
If you need to select one of these options that best fits based on the context or specific steepness of the relationship, you would need to either know more about the data or plot these equations against the scatterplot to see which line is closest to fitting the data.
Without additional context or data points, both B and C are valid choices for representing a negative linear relationship, so you may want to select one based on the steepness that seems appropriate based on your description of the scatterplot.
If you have specific data points or can visualize the scatterplot, you could make a more informed decision between B and C. If forced to choose based solely on the information given that describes a negative relationship, I'd suggest option B or C.