Which of the following functions best models the data represented by the scatterplot shown below?

A scatter plot shows x values from 0 to 18 and y values from 0 to 3000 with 10 data points showing a positive relationship. The points are at (7, 402), (13, 1362), and (11, 978).

A.

B.

C.

D.

1 answer

To accurately respond to your question, I would need to see the options you’ve mentioned (A, B, C, D) as potential functions that model the scatterplot data. However, I can provide some guidance on how to approach this problem.

  1. Identify the General Trend: Since the scatterplot shows a positive relationship, the function that best models the data will likely increase as x increases.

  2. Consider Different Types of Functions: Your options might include linear functions, quadratic functions, exponential functions, or others. Compare the nature of the scatterplot with the characteristics of each function type.

  3. Look at Specific Points: Since you provided some specific data points, particularly the x-values of 7, 11, and 13 with their corresponding y-values, checking how the possible functions align with these points can help narrow down the choices.

  4. Fit the Function: If you have access to graphing software or a calculator, you could input the data points and use regression analysis to find a best-fit line or curve to compare with your options.

If you provide me with the specific functions in options A, B, C, and D, I could help you determine which one best fits the data points you mentioned.