The scatterplot shows the number of geese at a zoo between 2005 and 2012. Which equation best represents the line of best fit?

Rationale

y = 50x + 100 best represents the line of best fit for the scatterplot of geese at the zoo.

This equation captures the overall trend observed in the data, indicating a steady increase in the number of geese from 2005 to 2012, consistent with the points plotted in the scatterplot.

A (y = 20x + 250) YOUR ANSWER

This equation suggests a much slower rate of increase in the number of geese over time compared to what is observed in the scatterplot. The slope of 20 does not align with the apparent growth trend, resulting in a line that does not fit the data well.

B (y = 50x + 100) CORRECT

This equation correctly reflects a stronger positive slope of 50, indicating a more rapid increase in the number of geese at the zoo over the years. The intercept of 100 also aligns well with the starting point of the data, making it the best representation of the trend shown in the scatterplot.

C (y = 30x + 150) YOUR ANSWER

While this equation suggests an increase, the slope of 30 is lower than what the scatterplot indicates, leading to an underestimation of the actual growth rate of the geese population. The intercept of 150 also does not align well with the initial data points.

D (y = 40x + 200) YOUR ANSWER

This equation proposes an increase with a slope of 40, which is still less than the observed trend in the scatterplot. The intercept of 200 is also higher than the starting point of the data, making it an inaccurate representation of the line of best fit.

Conclusion

To accurately represent the trend in the scatterplot showing the number of geese at the zoo from 2005 to 2012, the equation y = 50x + 100 is the most fitting. It provides a strong slope that matches the growth rate evident in the data and a suitable starting point, while the other options either underestimate growth or misalign with the data points.

The scatterplot shows the number of geese at a zoo between 2005 and 2012. Which equation best represents the line of best fit?

y = 50x + 100 best represents the line of best fit for the scatterplot of geese at the zoo.

Related Questions

Related Quizzes

How familiar were you with this question?

Report an Issue

Rate this Practice Test