Tiffany and her husband David are on a diet to lose weight. The amount of weight Tiffany lost per week is recorded in the graph above. David recorded his results in the table above. Which statement below is true about the results above?

Responses
A David is losing weight at a faster rate than Tiffany.David is losing weight at a faster rate than Tiffany.
B If David were to graph his results, the slope of his graph would be steeper than Tiffany's.If David were to graph his results, the slope of his graph would be steeper than Tiffany's.
C Tiffany is losing weight at a faster rate than David.Tiffany is losing weight at a faster rate than David.
D David and Tiffany will lose the same amount of weight after 7 weeks.David and Tiffany will lose the same amount of weight after 7 weeks.

1 answer

To determine which statement is true, you would need to compare the weight loss rates of Tiffany and David based on the data provided (either from a graph for Tiffany or a table for David).

  1. David is losing weight at a faster rate than Tiffany. - This would be true if David’s weekly weight loss is greater than Tiffany’s.

  2. If David were to graph his results, the slope of his graph would be steeper than Tiffany's. - A steeper slope would indeed indicate a faster weight loss rate.

  3. Tiffany is losing weight at a faster rate than David. - This would be true if Tiffany’s weekly weight loss is greater than David’s.

  4. David and Tiffany will lose the same amount of weight after 7 weeks. - This would be true if the total weight loss for both after 7 weeks were the same.

To find the correct answer, compare the weekly weight loss of both individuals. If you have their data (from the graph and table), you should look at:

  • Tiffany's weight loss per week (which should be represented as points on the graph) and the total after 7 weeks.
  • David's total weight loss after 7 weeks based on the table data.

Without the specific data, the correct answer cannot be determined. However, based on your understanding of their weight loss rates and the shape of their graphical representations, you should be able to choose the correct option among A, B, C, or D. If Tiffany’s rate of loss is higher and consistent, then C might be true, and if David’s rate is higher, then A or B could be true. If they are the same after 7 weeks, then D could be true.