Question

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
Choose...
, and the d-axis of her graph should go from 0 to at least
Choose...
.

Answer 1

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**.