Kate has run 7 miles this month. Kate would like to graph the line that represents the total number of miles she will have run, M, after d days, given that she will run 3.5 miles each day. She would like the graph to show the number of miles run for the next 2 weeks.



Select from the drop-down menus to correctly complete each statement.

To best show this information, the scale for the M-axis of her graph should go from 0 to at least
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, and the d-axis of her graph should go from 0 to at least
Choose...
.

1 answer

To determine the total number of miles Kate will have run after 2 weeks while running 3.5 miles each day, we can perform the following calculations:

  1. Calculating the total distance she will run in the next 2 weeks:

    • In 2 weeks, there are 14 days.
    • Each day, she runs 3.5 miles.
    • Total additional miles in 2 weeks = 3.5 miles/day * 14 days = 49 miles.
  2. Calculating her total miles by the end of 2 weeks:

    • Kate has already run 7 miles.
    • Total miles after 2 weeks = 7 miles + 49 miles = 56 miles.

Thus, to best show this information on the graph:

  • For the M-axis (total miles run, M), the scale should go from 0 to at least 56 miles (so we can comfortably add the existing miles and the miles she will run).

  • For the d-axis (days, d), the scale should go from 0 to at least 14 days (since we want to show the next 2 weeks).

Based on this information, here are the selections:

  • The scale for the M-axis of her graph should go from 0 to at least 56.
  • The d-axis of her graph should go from 0 to at least 14.